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NL5 - Facing tough spot with TPTK on river

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NL5 - Facing tough spot with TPTK on river

Blinds: $0.02/$0.05 (5 Players) CO: $5.10
BN: $5.58
SB: $5.87 (Hero)
BB: $7.03
UTG: $4.93
Preflop ($0.07) Hero is SB with K A
3 folds, Hero raises to $0.12, BB calls $0.07
Villain looks most likely like a reg based on about 50 hands we have for him
Flop ($0.24) 4 A 9
Hero bets $0.14, BB calls $0.14
Turn ($0.52) 4 A 9 9
Hero checks, BB bets $0.25, Hero calls $0.25
River ($1.02) 4 A 9 9 4
Hero checks, BB bets $0.74, Hero calls $0.74
I think I should fold here. There are many 9s villain would call pre and he has those here. Stuff like A9, K9, Q9, J9, T9, 98, 97s, 96s. I don't think he bets here for value an Ace. Even if he bets AJ, AT(didnt include AK or AQ because I assume he most often 3bets those pre) then our equity vs that range on river is 27.6%(including all 9s from before except A9 and also 44, 99(assuming he raises those on flop). In reality that's not true. He slowplays them also.) Our pot odds are 29,6% though. There is the rake also... I think we should fold here.

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