Answer
$$r=\frac{b}{a+c};\quad \:a\ne \:-c$$
Work Step by Step
Solving the equation by using the rules of Algebra to isolate the given variable, we obtain:
$$ ar+cr=b\\ r\left(a+c\right)=b\\ r=\frac{b}{a+c};\quad \:a\ne \:-c$$
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