Question
$$r+15 = 4r-6$$
Answer
$$ r = 7 $$
Explanation
$$ \begin{aligned} r+15 &= 4r-6&& \text{move the $ \color{blue}{ 4r } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]r-4r &= -6-15&& \text{simplify left and right hand side} \\[1 em]-3r &= -21&& \text{ divide both sides by $ -3 $ } \\[1 em]r &= \frac{-21}{-3}&& \\[1 em]r &= 7&& \\[1 em] \end{aligned} $$
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