$$ \begin{aligned} 7n+15 &= 5n-9&& \text{move the $ \color{blue}{ 5n } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]7n-5n &= -9-15&& \text{simplify left and right hand side} \\[1 em]2n &= -24&& \text{ divide both sides by $ 2 $ } \\[1 em]n &= -\frac{24}{2}&& \\[1 em]n &= -12&& \\[1 em] \end{aligned} $$
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