$$ \begin{aligned} 2(n+7) &= 4n+8&& \text{simplify left side} \\[1 em]2n+14 &= 4n+8&& \text{move the $ \color{blue}{ 4n } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]2n-4n &= 8-14&& \text{simplify left and right hand side} \\[1 em]-2n &= -6&& \text{ divide both sides by $ -2 $ } \\[1 em]n &= \frac{-6}{-2}&& \\[1 em]n &= 3&& \\[1 em] \end{aligned} $$
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