$$ \begin{aligned} 7-3n &= -2n+16&& \text{move the $ \color{blue}{ -2n } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]-3n+2n &= 16-7&& \text{simplify left and right hand side} \\[1 em]-n &= 9&& \text{switch signs on both sides} \\[1 em]n &= -9&& \\[1 em] \end{aligned} $$