KK push turn against a calling station

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if he's a calling station why are you trying so hard to make bets he'll have a hard time calling? Just keep value betting his ass

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The many weak hands held by villain make for lots of scare cards for him. Also, he may think I'm trying to push him off with, which he would not be able to believe if I split his 40$ over the turn and river.

He had 77