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2(4b-6)=7b-9
We move all terms to the left:
2(4b-6)-(7b-9)=0
We multiply parentheses
8b-(7b-9)-12=0
We get rid of parentheses
8b-7b+9-12=0
We add all the numbers together, and all the variables
b-3=0
We move all terms containing b to the left, all other terms to the right
b=3
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