$$ \begin{aligned} \frac{7}{6}-\frac{1}{3}v &= 6&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot\frac{7}{6}-6\frac{1}{3}v &= 6\cdot6&& \text{cancel out the denominators} \\[1 em]7-2v &= 36&& \text{ move 7 to the right } \\[1 em]-2v &= 36-7&& \\[1 em]-2v &= 29&& \text{ divide both sides by $ -2 $ } \\[1 em]v &= -\frac{29}{2}&& \\[1 em] \end{aligned} $$

This page was created using