Math on how wide we need to defend vs 3bets

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Math on how wide we need to defend vs 3bets

Hey guys I'm trying to find out how much we defend vs a 3bet,but I'm unsure if my math is correct on assigning the villains worst bluff,which I believe is what we are after?.

Ex. $2/4 6max Hero $10 UTG,MP raises to $30

I'm opening roughly 13%(168 combos) from UTG and lets say 4betting 8 combos.Which is .048%

We're gonna give villain A5s which has 40% equity vs our range.This is where I'm unsure on how to calculate,I took the pot if i called and multiplied his equity - his bet.So $66(.4)=26.4-30=3.6 And I plugged it into here-

(16)(1-x-.048)+(-3.6)(x)+(-30)(.048)=0 16-16x-7.68-3.6x-1.44=0 6.88=-19.6x -6.88/-19.6=35%

168(.35)=59 combos

I would really appreciate any help,Thanks Ryan

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