Question
$$5w-29 = 55-2w$$
Answer
$$ w = 12 $$
Explanation
$$ \begin{aligned} 5w-29 &= 55-2w&& \text{move the $ \color{blue}{ -2w } $ to the left side and $ \color{blue}{ -29 }$ to the right} \\[1 em]5w+2w &= 55+29&& \text{simplify left and right hand side} \\[1 em]7w &= 84&& \text{ divide both sides by $ 7 $ } \\[1 em]w &= \frac{84}{7}&& \\[1 em]w &= 12&& \\[1 em] \end{aligned} $$
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