$$ \begin{aligned} 7+6v &= 6+7v&& \text{move the $ \color{blue}{ 7v } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]6v-7v &= 6-7&& \text{simplify left and right hand side} \\[1 em]-v &= -1&& \text{switch signs on both sides} \\[1 em]v &= 1&& \\[1 em] \end{aligned} $$