What is the answer to -6=-8|-r-9|-6 ?

The answer to -6=-8|-r-9|-6 is r=-9

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-6=-8|-r-9|-6

- 6 = - 8 ∣ - r - 9 ∣ - 6

r = - 9

Solution steps

- 6 = - 8 ∣ - r - 9 ∣ - 6

Add

6

to both sides

- 6 + 6 = - 8 ∣ - r - 9 ∣ - 6 + 6

Simplify

0 = - 8 ∣ - r - 9 ∣

Switch sides

- 8 ∣ - r - 9 ∣ = 0

Divide both sides by

- 8

∣ - r - 9 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

- r - 9 = 0

- r - 9 = 0 : r = - 9

r = - 9

13 ∣ - 2 x + 1 ∣ - 10 = 159

5 - 4 ∣ 4 h - 2 ∣ = - 15

12 = 5 ∣ x + 1 ∣ + 3

∣ 8 + 10 n ∣ = 52

x^{3} - 4 = 7 - x