Question

Help explain how to do this pls
| r+6 | + 8 =22

Answer 1

Explanation:

`|r + 6| + 8 = 22 \\ r + 6 = 14 \\ r = 8`

Answer 2

`r\in\{-20, 8\}`

Explanation:

`| r+6 | + 8 =22 \iff | r+6 | = 14`

Note, once we are working with absolute value, then

`|14| = |-14| = 14`

Therefore, we have two solutions for
`r`

Thus,

`r + 6 = -14 \implies r = -20`

`r + 6 = 14 \implies r = 8`