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2.6(v+1)-1.5=6v+7.1
We move all terms to the left:
2.6(v+1)-1.5-(6v+7.1)=0
We multiply parentheses
2.6v-(6v+7.1)+2.6-1.5=0
We get rid of parentheses
2.6v-6v-7.1+2.6-1.5=0
We add all the numbers together, and all the variables
-3.4v-6=0
We move all terms containing v to the left, all other terms to the right
-3.4v=6
v=6/-3.4
v=-1+2.6/3.4
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