$$ \begin{aligned} 14+2(2w-5)-7w &= 0&& \text{simplify left side} \\[1 em]14+4w-10-7w &= 0&& \\[1 em]4w+4-7w &= 0&& \\[1 em]-3w+4 &= 0&& \text{ move the constants to the right } \\[1 em]-3w &= -4&& \text{ divide both sides by $ -3 $ } \\[1 em]w &= \frac{-4}{-3}&& \\[1 em]w &= \frac{4}{3}&& \\[1 em] \end{aligned} $$
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