$$3v+2 = 7v-6$$
Answer
$$ v = 2 $$
Explanation
$$ \begin{aligned} 3v+2 &= 7v-6&& \text{move the $ \color{blue}{ 7v } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]3v-7v &= -6-2&& \text{simplify left and right hand side} \\[1 em]-4v &= -8&& \text{ divide both sides by $ -4 $ } \\[1 em]v &= \frac{-8}{-4}&& \\[1 em]v &= 2&& \\[1 em] \end{aligned} $$
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