Answer:
[tex]r\in\{-20, 8\}[/tex]
Step-by-step explanation:
[tex]| r+6 | + 8 =22 \iff | r+6 | = 14[/tex]
Note, once we are working with absolute value, then
[tex]|14| = |-14| = 14[/tex]
Therefore, we have two solutions for [tex]r[/tex]
Thus,
[tex]r + 6 = -14 \implies r = -20[/tex]
[tex]r + 6 = 14 \implies r = 8[/tex]
