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