What is the answer to 4|-k-3|-8=10 ?

The answer to 4|-k-3|-8=10 is k=-15/2 \lor k= 3/2

Solve for k: 4|-k-3|-8=10

The solution is k=-15/2 \lor k= 3/2

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4 ∣ - k - 3 ∣ - 8 = 10

k = - \frac{15}{2} or k = \frac{3}{2}

Decimal Notation

k = - 7.5, k = 1.5

Solution steps

4 ∣ - k - 3 ∣ - 8 = 10

Move

8

to the right side

4 ∣ - k - 3 ∣ = 18

Divide both sides by

4

∣ - k - 3 ∣ = \frac{9}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- k - 3 = - \frac{9}{2} or - k - 3 = \frac{9}{2}

- k - 3 = - \frac{9}{2} or - k - 3 = \frac{9}{2}

k = - \frac{15}{2} or k = \frac{3}{2}

∣ 9 n - 1 ∣ + 7 = 6

2 ∣ 6 x + 2 ∣ - 1 = 43

- 6 ∣ w ∣ = - 48

a ∣ 5 x - 10 ∣ = 15

∣ 2 x + 5 ∣ = x - 3

What is the answer to 4|-k-3|-8=10 ?
The answer to 4|-k-3|-8=10 is k=-15/2 \lor k= 3/2
Solve for k: 4|-k-3|-8=10
The solution is k=-15/2 \lor k= 3/2