Answer
$r=5$
Work Step by Step
The given equation is
$\Rightarrow 6(r-2)=2r+8$
Use distributive property.
$\Rightarrow 6r-12=2r+8$
Add $12-2r$ to each side.
$\Rightarrow 6r-12+12-2r=2r+8+12-2r$
Add like terms.
$\Rightarrow 4r=20$
Divide each side by $4$.
$\Rightarrow \frac{4r}{4}=\frac{20}{4}$
Simplify.
$\Rightarrow r=5$
Check $r=5$.
$\Rightarrow 6(5-2)=2(5)+8$
$\Rightarrow 6(3)=10+8$
$\Rightarrow 18=18$
True.
