$$ \begin{aligned} 8(2w-2) &= 7(3w+2)&& \text{simplify left and right hand side} \\[1 em]16w-16 &= 21w+14&& \text{move the $ \color{blue}{ 21w } $ to the left side and $ \color{blue}{ -16 }$ to the right} \\[1 em]16w-21w &= 14+16&& \text{simplify left and right hand side} \\[1 em]-5w &= 30&& \text{ divide both sides by $ -5 $ } \\[1 em]w &= -\frac{30}{5}&& \\[1 em]w &= -6&& \\[1 em] \end{aligned} $$

This page was created using