Answer
$8,-2$
Work Step by Step
$|\frac{2r-6}{5}| = |-2|$
Since $|-2| $ is $2$, the given expression becomes,
$|\frac{2r-6}{5}| = 2$
$\frac{2r-6}{5} = 2$ or $\frac{2r-6}{5} = -2$
$2r-6 = 10$ or $2r-6 = -10$
$2r = 10+6 $ or $2r = -10+6$
$2r = 16$ or $2r = -4$
$r = 8$ or $r = -2$
Solutions are $8, -2$