$$ \begin{aligned} -4(w-12)+14 &= 2(6w+7)&& \text{simplify left and right hand side} \\[1 em]-(4w-48)+14 &= 12w+14&& \\[1 em]-4w+48+14 &= 12w+14&& \\[1 em]-4w+62 &= 12w+14&& \text{move the $ \color{blue}{ 12w } $ to the left side and $ \color{blue}{ 62 }$ to the right} \\[1 em]-4w-12w &= 14-62&& \text{simplify left and right hand side} \\[1 em]-16w &= -48&& \text{ divide both sides by $ -16 $ } \\[1 em]w &= \frac{-48}{-16}&& \\[1 em]w &= 3&& \\[1 em] \end{aligned} $$

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