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4(b-7)-3(-3b-4)=4b+5+6
We move all terms to the left:
4(b-7)-3(-3b-4)-(4b+5+6)=0
We add all the numbers together, and all the variables
4(b-7)-3(-3b-4)-(4b+11)=0
We multiply parentheses
4b+9b-(4b+11)-28+12=0
We get rid of parentheses
4b+9b-4b-11-28+12=0
We add all the numbers together, and all the variables
9b-27=0
We move all terms containing b to the left, all other terms to the right
9b=27
b=27/9
b=3
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