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

User Sootsnoot
by
3.1k points

2 Answers

22 votes
22 votes

Explanation:


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

User Datps
by
2.9k points
5 votes
5 votes

Answer:


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

User Vincente
by
2.9k points