Question
$$4w+22 = -3w$$
Answer
$$ w = -\dfrac{22}{7} $$
Explanation
$$ \begin{aligned} 4w+22 &= -3w&& \text{move the $ \color{blue}{ -3w } $ to the left side and $ \color{blue}{ 22 }$ to the right} \\[1 em]4w+3w &= -22&& \text{simplify left side} \\[1 em]7w &= -22&& \text{ divide both sides by $ 7 $ } \\[1 em]w &= -\frac{22}{7}&& \\[1 em] \end{aligned} $$
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