What is the answer to 8-12|k+4|=-4 ?

The answer to 8-12|k+4|=-4 is k=-5\lor k=-3

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8-12|k+4|=-4

8 - 12 ∣ k + 4 ∣ = - 4

k = - 5 or k = - 3

Solution steps

8 - 12 ∣ k + 4 ∣ = - 4

Move

8

to the right side

- 12 ∣ k + 4 ∣ = - 12

Divide both sides by

- 12

∣ k + 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k + 4 = - 1 or k + 4 = 1

k + 4 = - 1 or k + 4 = 1

k = - 5 or k = - 3

∣ 2 x + 7 ∣ = x - 4

∣ 4 - y ∣ = 6

∣ y ∣ = - 7

∣ 4 - x ∣ = 1

- 3 ∣ x + 4 ∣ + 5 = - 7

What is the answer to 8-12|k+4|=-4 ?
The answer to 8-12|k+4|=-4 is k=-5\lor k=-3
Solve for k: 8-12|k+4|=-4
The solution is k=-5\lor k=-3