$$ \begin{aligned} -16+5n &= 7\cdot(6+8n)+3&& \text{simplify left and right hand side} \\[1 em]5n-16 &= 42+56n+3&& \\[1 em]5n-16 &= 56n+45&& \text{move the $ \color{blue}{ 56n } $ to the left side and $ \color{blue}{ -16 }$ to the right} \\[1 em]5n-56n &= 45+16&& \text{simplify left and right hand side} \\[1 em]-51n &= 61&& \text{ divide both sides by $ -51 $ } \\[1 em]n &= -\frac{61}{51}&& \\[1 em] \end{aligned} $$

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