$$ \begin{aligned} 6(n+5) &= 3(n+16)&& \text{simplify left and right hand side} \\[1 em]6n+30 &= 3n+48&& \text{move the $ \color{blue}{ 3n } $ to the left side and $ \color{blue}{ 30 }$ to the right} \\[1 em]6n-3n &= 48-30&& \text{simplify left and right hand side} \\[1 em]3n &= 18&& \text{ divide both sides by $ 3 $ } \\[1 em]n &= \frac{18}{3}&& \\[1 em]n &= 6&& \\[1 em] \end{aligned} $$

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