$$\frac{r+7}{r} = \frac{2}{r}$$
Answer
$$ r = -5 $$
Explanation
$$ \begin{aligned} \frac{r+7}{r} &= \frac{2}{r}&& \text{multiply ALL terms by } \color{blue}{ r }. \\[1 em]r\frac{r+7}{r} &= r\cdot\frac{2}{r}&& \text{cancel out the denominators} \\[1 em]r+7 &= 2&& \text{ move 7 to the right } \\[1 em]r &= 2-7&& \\[1 em]r &= -5&& \\[1 em]r &= -5&& \\[1 em] \end{aligned} $$
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