$$\frac{2}{3}n+7 = 15$$

$$ \begin{aligned} \frac{2}{3}n+7 &= 15&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}n+3\cdot7 &= 3\cdot15&& \text{cancel out the denominators} \\[1 em]2n+21 &= 45&& \text{ move 21 to the right } \\[1 em]2n &= 45-21&& \\[1 em]2n &= 24&& \text{ divide both sides by $ 2 $ } \\[1 em]n &= \frac{24}{2}&& \\[1 em]n &= 12&& \\[1 em] \end{aligned} $$

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