i'm also playing around 8 games most of time, but it is really important how many time you have and how many time between phases, or it is a gunboat or not, for the people that are not really nice to me and look in others profiles it also matters or its anonymous, and the map can also be important because the beginning at the normal map you already know most of times... (even if you haven't played the particular country you have seen others play it and you can see what is your style...) that about what for game it is...
than you also say it takes long because you look at any possible scenario, well, i don't know how others do that but personally i always see the few moves that can be the best, so i don't need to look at the rest, and everything about those few moves i figure out in my mind, and ok, maybe not everything but enough to see wich move is best...
and i also look at what is the move after the best because other people (that are good, doesn't work as good with new people...) most of times move in the knowledge you do the best move and if you do other moves that are even better when the other tries to move against your best moves you get those, but still you only look at 2 variants per game most of times and i am playing a few hours a day on teh computer and i look at this site sometime or i have to do something and otherwise i go back to black ops :)