$$ \begin{aligned} \frac{8}{3} &= \frac{v}{13}&& \text{multiply ALL terms by } \color{blue}{ 39 }. \\[1 em]39\cdot\frac{8}{3} &= 39 \cdot \frac{v}{13}&& \text{cancel out the denominators} \\[1 em]104 &= 3v&& \text{ swap the left and right side of the equation } \\[1 em]3v &= 104&& \text{ divide both sides by $ 3 $ } \\[1 em]v &= \frac{104}{3}&& \\[1 em] \end{aligned} $$

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