Chapter 2 - Section 2.6 - Absolute Value Equations - Exercise Set - Page 100: 64

$8,-2$

$|\frac{2r-6}{5}| = |-2|$ 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 $8, -2$