What is the answer to -1|-2k+7|-2=-8 ?

The answer to -1|-2k+7|-2=-8 is k= 1/2 \lor k= 13/2

Solve for k: -1|-2k+7|-2=-8

The solution is k= 1/2 \lor k= 13/2

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- 1 ∣ - 2 k + 7 ∣ - 2 = - 8

k = \frac{1}{2} or k = \frac{13}{2}

Decimal Notation

k = 0.5, k = 6.5

Solution steps

- 1 \cdot ∣ - 2 k + 7 ∣ - 2 = - 8

Multiply:

1 \cdot ∣ - 2 k + 7 ∣ = ∣ - 2 k + 7 ∣

- ∣ - 2 k + 7 ∣ - 2 = - 8

Move

2

to the right side

- ∣ - 2 k + 7 ∣ = - 6

Divide both sides by

- 1

∣ - 2 k + 7 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 k + 7 = - 6 or - 2 k + 7 = 6

- 2 k + 7 = - 6 or - 2 k + 7 = 6

k = \frac{1}{2} or k = \frac{13}{2}

∣ 8 k ∣ = 24

7 ∣ y + 6 ∣ + 4 = 4

∣ - 6 m - 6 ∣ = 30

\frac{x}{3} - 2 = 5

6 ∣ n ∣ - 2 = 10

What is the answer to -1|-2k+7|-2=-8 ?
The answer to -1|-2k+7|-2=-8 is k= 1/2 \lor k= 13/2
Solve for k: -1|-2k+7|-2=-8
The solution is k= 1/2 \lor k= 13/2