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

The answer to 12-8|k+4|=-4 is k=-6\lor k=-2

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12-8|k+4|=-4

12 - 8 ∣ k + 4 ∣ = - 4

k = - 6 or k = - 2

Solution steps

12 - 8 ∣ k + 4 ∣ = - 4

Move

12

to the right side

- 8 ∣ k + 4 ∣ = - 16

Divide both sides by

- 8

∣ k + 4 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k + 4 = - 2 or k + 4 = 2

k + 4 = - 2 or k + 4 = 2

k = - 6 or k = - 2

∣ 6 x - 2 ∣ + 3 = 15

∣ b + 9 ∣ - 4 = - 12

∣ - 3 n + 22 ∣ = 5

∣ 5 - x ∣ - 10 = 0

∣ a ∣ = - 6

What is the answer to 12-8|k+4|=-4 ?
The answer to 12-8|k+4|=-4 is k=-6\lor k=-2
Solve for k: 12-8|k+4|=-4
The solution is k=-6\lor k=-2