$$ \begin{aligned} 14+3n &= 8n-3(n-4)&& \text{simplify left and right hand side} \\[1 em]3n+14 &= 8n-(3n-12)&& \\[1 em]3n+14 &= 8n-3n+12&& \\[1 em]3n+14 &= 5n+12&& \text{move the $ \color{blue}{ 5n } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]3n-5n &= 12-14&& \text{simplify left and right hand side} \\[1 em]-2n &= -2&& \text{ divide both sides by $ -2 $ } \\[1 em]n &= \frac{-2}{-2}&& \\[1 em]n &= 1&& \\[1 em] \end{aligned} $$

This page was created using