$$ \begin{aligned} 15+n-6n &= 7n+3n&& \text{simplify left and right hand side} \\[1 em]-5n+15 &= 10n&& \text{move the $ \color{blue}{ 10n } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]-5n-10n &= -15&& \text{simplify left side} \\[1 em]-15n &= -15&& \text{ divide both sides by $ -15 $ } \\[1 em]n &= \frac{-15}{-15}&& \\[1 em]n &= 1&& \\[1 em] \end{aligned} $$

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