What is the answer to (2-|k+1|)=-6 ?

The answer to (2-|k+1|)=-6 is k=-9\lor k=7

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(2-|k+1|)=-6

(2 - ∣ k + 1 ∣) = - 6

k = - 9 or k = 7

Solution steps

2 - ∣ k + 1 ∣ = - 6

Move

2

to the right side

- ∣ k + 1 ∣ = - 8

Divide both sides by

- 1

∣ k + 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k + 1 = - 8 or k + 1 = 8

k + 1 = - 8 or k + 1 = 8

k = - 9 or k = 7

∣ z - 1 ∣ = 0

∣ x - 2 ∣ = \frac{x}{2} + 1

\frac{6 x - 3}{4} = 5

6 - 3 ∣ 2 r + 1 ∣ = - 39

3 ∣ q ∣ = 0