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2(v+6)=-3v+47
We move all terms to the left:
2(v+6)-(-3v+47)=0
We multiply parentheses
2v-(-3v+47)+12=0
We get rid of parentheses
2v+3v-47+12=0
We add all the numbers together, and all the variables
5v-35=0
We move all terms containing v to the left, all other terms to the right
5v=35
v=35/5
v=7
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