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I think the point of 832 is that you raised pre-flop, and people tend not to call pre-flop raises with hands that have 8's, 3's, 2's, or something like 45 very often. Meanwhile, they do tend to call pre-flop raises a lot with broadway cards and the like.
Thus, you can get a big part of the villain's range to fold with a c-bet on an 832 flop. Whereas you can only get a smaller part of villain's range to fold on a flop with a king and a queen on it, because so many of the hands villain calls with are going to contain kings or queens or draws that utilize the king and queen.
A related issue concerns paired boards. It's often good to c-bet on a paired board, because if the board is, say, JJ6, the villain has to have one of 2 cards in his hand rather than one of 3 to hit the flop.
But obviously, you are going to run into villains who hit the 832 or the JJ6 flop and you are also going to run into villains who missed the flop with the broadway cards. It's just that the broadway flop hits more of the villain's calling range.
One other thing I should add. Even though the mantra is to bet to get better hands to fold, when your hand is vulnerable, it isn't horrible to get worse hands to fold and take the pot down right then, especially with a hand like Ace-high where you never really know if you are ahead.
I'd much rather c-bet the 832 flop with ace high and win the pot right there than get called and have to spend the rest of the hand trying to figure out whether my ace is good.
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