Romans 6
Paul answers those who suggest that grace allows for one to live in sin 1. This is not possible for one who is united with Christ by faith. He died and was raised to life. In the same way, all who are in Christ by faith have died to sin and are live to righteousness 2-10. Water baptism is a picture of this inward transformation and the believer's position before God 3-4. The believer has the new nature of God within and is to count this truths, true of them (because they are true) 11-12. Righteousness in the believer's life is a matter of submission of one's life and body to God (in every part) 13-19, so that holiness is seen in daily life and is reflective of eternal life which is a gift of God in Christ Jesus 20-23. Note: If the believer sins, the result is the same as the unbeliever, the out come is the same, death 21b,23a. The question can be asked this way, who is your master God ? Is will be seen in righteousness in your life. Is sin your master ? It will be seen by sinful actions (bondage) in your life. Through faith in Christ one can be free from both the penalty and power of sin. Righteousness (from God) can be manifest in life through one who is given to God.

Romans 7
This is a difficult chapter to understand and interpret. The reason being, is Paul speaking of the struggles of a believer or one who is not saved and in not in Christ ? The illustration of the law and marriage is clear, since is pictures what has happened to the believer who has died and has been raised. Thus, the believer is free from the law and its condemnation and regulations 1-6. This means we as believers have a new way of relating to the law, through Christ and the Holy Spirit 6. The Law is not bad, but good, righteous, and holy. The Law reveals sin 7-12. For the unsaved man, apart from Christ, all the law does is stir up more sin and is powerless to produce a righteousness in the life of those who try to live by its demands 13-23. In fact, the Law only results in more sin and failure, because we are sinful, by nature. Our bent is away from God 14-18. Even though we have a desire to do what is right, we can not do so, consistently or perfectly 19-23. This only leads to death 24. But, through Jesus Christ, the believer is free from the bondage of law, and  is able to serve in newness of life 25. Note: I do not fully understand the points Paul is making in this chapter. I leave this to your further study. I find it interesting that the Law, and the results it produces in one's life, is the focus of this chapter. We have already seen that Law keeping can not produce a righteousness from God (2:12-3:8). The Law stirs up sin in us 8,13. The law is not bad, but good, holy, and righteous 12. It reveals God's righteousness and His holy character. So if it only produces death in you and me, as I try to keep it, should I then stop trying ? The answer is in Jesus Christ who fulfills the Law's demands on my behalf and also enables me to live according to the Law by His indwelling and empowering presence (through the Holy Spirit). This is expounded in the following chapter (8). 

Romans 8
Therefore, there is now no condemnation for those who are in Christ Jesus 1. This is true for all who by faith are in Christ. Jesus Christ met all the demands of the Law on my behalf 2-4. He also enables the believer (who lives according to the Spirit - in the context), to live a life of righteousness which is pleasing to God 5-11. This is a process in the believer's life and requires that one yield to the Lord and the promptings of the Spirit 12-14. The Holy Spirit is the One who assures us and enables us to call out to God as our ABBA, father 15-16. One day we will share in Christ's glory 17, which indicates a certain outcome and end result in our lives wrought by God 28-30. The present sufferings and struggles of this life and world are all part of God's bigger plan 18-25. Note: Believers in Jesus have a sure and certain hope; for the best is yet to come ! In the present, the Holy Spirit even helps us to pray 26-27. Note: Oh, how I need His help ! Because God's plan for His own our sure 28-30, we respond with a confidence and a sure hope that is not shaken by the accusations of others 31-33, nor lessen by the difficulties and hardships of life 34-35, nor is able to be taken from us regardless of what comes against us in this life 36-38. Nothing in all of creation is able to separate us from the love of God which is in Christ Jesus 39 ! After reading this great crescendo of truth, how can we not but reply 'AMEN  and AMEN !' to God's saving work towards us in Christ ?