Main point summary
Paul is thankful for the Romans because of their faith, which is proclaimed in all the world, and in his thankfulness, he eagerly desires to go preach the gospel to them, because a) God has given him the passion to pray for it, b) he longs to be mutually encouraged, c) he intends to reap a harvest among them (see Gentiles saved), and d) he is obligated to them.
First, p I thank my God
through Jesus Christ for all of you,
q because your faith is proclaimed
in all the world.
r For God is my witness,
s whom I serve
with my spirit in the gospel of his Son,
t that without ceasing
I mention you
always in my prayers,
asking that somehow
u by God’s will
I may now at last succeed in coming to you.
For v I long to see you,
that I may impart to you some spiritual gift
to strengthen you—
that is, that we may be mutually encouraged
w by each other’s faith,
both yours and mine.
I do not want you to be unaware, brothers, 1
that x I have often intended to come to you
(but y thus far have been prevented),
in order that I may reap some z harvest among you
as well as among the rest of the Gentiles.
a I am under obligation
both to Greeks
and to b barbarians, 1
both to the wise
and to the foolish.
So I am eager to preach the gospel to you also who are in Rome.
1) God is my witness THAT I carry out my gospel-service THROUGH/by my praying that I may now come to you
2) I long to see you in order that I may help you in growing in faith WHICH ALSO helps me grow in my faith (I help you, in other words, we help each other by you letting me help you).
3) I intend to come to you SO THAT I may reap some harvest among you (all)
4) I am under an obligation to all those who are non-Jewish