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3(2v+8)=54
We move all terms to the left:
3(2v+8)-(54)=0
We multiply parentheses
6v+24-54=0
We add all the numbers together, and all the variables
6v-30=0
We move all terms containing v to the left, all other terms to the right
6v=30
v=30/6
v=5
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