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 Originally Posted by breathweapon
2) As you move further to the left of the blinds, your range increases, because more players have folded (I' m assuming no raisers or limpers) and you can use that information to better asses the strength of your hand and your options.
This is not why we value position per se. The value of position is mostly found on the next 3 streets where our decisions are much easier (as opposed to being in early position), our opponents decisions are more difficult and give us more information, and it is easier to take down orphan pots.
When we're in position and our opponents are strong, we don't have to invest any money to learn that. When checked to in position, our bets will win the pot much more frequently. Conversely, our continuation bets win pots less frequently out of position. Extracting value from a monster out of position is more difficult. You have to decide which particular line to take. Should you lead? Check/call? Check/raise? What about the turn and river? There is more room for error. When you're in position with a monster, the choices are relatively simple.
There is more to it, and I'm no good at explaining things, just know that it's way more valuable than evaluating your hand preflop. Sure, I'll fold AT in the CO if it's raised, but I wasn't going to play that UTG anyway. Being in position didn't make my choice any easier. Play a little 6-max for a good crash course in the value of position, it's worked wonders for me 
Sorry if you addressed some of this already, I sort of skimmed through the rest of your post.
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