A frequently discussed concept around here is which hands to check back on the flop, especially which medium to strong hands to check back so as to protect our range. One concept that's often thrown out is that we should check hands that can call or raise on many turns. I can see why hands like this work well as check backs, but it seems like those same criteria would also make them good hands to bet on the flop because they can barrel on a lot of turns. It's not obvious to me when and why a hand's potential turn equity should be used to bet and potentially  barrel, or when it should be used to check back. I was hoping we could get a discussion going about these spots because I feel like this is a part of my game where my thinking is still rather fuzzy.