$$ \begin{aligned} 14n-2(4n+5) &= -9+2(n-8)&& \text{simplify left and right hand side} \\[1 em]14n-(8n+10) &= -9+2n-16&& \\[1 em]14n-8n-10 &= 2n-25&& \\[1 em]6n-10 &= 2n-25&& \text{move the $ \color{blue}{ 2n } $ to the left side and $ \color{blue}{ -10 }$ to the right} \\[1 em]6n-2n &= -25+10&& \text{simplify left and right hand side} \\[1 em]4n &= -15&& \text{ divide both sides by $ 4 $ } \\[1 em]n &= -\frac{15}{4}&& \\[1 em] \end{aligned} $$

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