What is the answer to | k/6 |-9=-8 ?

The answer to | k/6 |-9=-8 is k=-6\lor k=6

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| k/6 |-9=-8

\frac{k}{6} - 9 = - 8

k = - 6 or k = 6

Solution steps

\frac{k}{6} - 9 = - 8

Move

9

to the right side

\frac{k}{6} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{k}{6} = - 1 or \frac{k}{6} = 1

\frac{k}{6} = - 1 or \frac{k}{6} = 1

k = - 6 or k = 6

2 ∣ 2 x - 3 ∣ = 14

∣ b + 7 ∣ - 3 = 6

- x = ∣ - x ∣ + 4

\frac{1}{2} x + 4 = 6

∣ - 5 x + 6 ∣ = 7