$$ \begin{aligned} -8\cdot(11+v) &= \frac{v}{2}\cdot6&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]-2\cdot8\cdot(11+v) &= 2 \cdot \frac{v}{2}\cdot6&& \text{cancel out the denominators} \\[1 em]-(16v+176) &= 6v&& \text{simplify left side} \\[1 em]-16v-176 &= 6v&& \text{move the $ \color{blue}{ 6v } $ to the left side and $ \color{blue}{ -176 }$ to the right} \\[1 em]-16v-6v &= 176&& \text{simplify left side} \\[1 em]-22v &= 176&& \text{ divide both sides by $ -22 $ } \\[1 em]v &= -\frac{176}{22}&& \\[1 em]v &= -8&& \\[1 em] \end{aligned} $$

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