What is the answer to 7-8|r+6|=-89 ?

The answer to 7-8|r+6|=-89 is r=-18\lor r=6

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7-8|r+6|=-89

7 - 8 ∣ r + 6 ∣ = - 89

r = - 18 or r = 6

Solution steps

7 - 8 ∣ r + 6 ∣ = - 89

Move

7

to the right side

- 8 ∣ r + 6 ∣ = - 96

Divide both sides by

- 8

∣ r + 6 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

r + 6 = - 12 or r + 6 = 12

r + 6 = - 12 or r + 6 = 12

r = - 18 or r = 6

- 4 ∣ 2 x + 6 ∣ = 16

∣ - 3 + a ∣ = 7

∣ 2 v - 5 ∣ = 7

∣ u + 6 ∣ = 2

\frac{x}{2} - 3 = 1

What is the answer to 7-8|r+6|=-89 ?
The answer to 7-8|r+6|=-89 is r=-18\lor r=6
Solve for r: 7-8|r+6|=-89
The solution is r=-18\lor r=6