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2(2v+7)=18
We move all terms to the left:
2(2v+7)-(18)=0
We multiply parentheses
4v+14-18=0
We add all the numbers together, and all the variables
4v-4=0
We move all terms containing v to the left, all other terms to the right
4v=4
v=4/4
v=1
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