What is the answer to 6|-6k-2|-6=2 ?

The answer to 6|-6k-2|-6=2 is k=-5/9 \lor k=-1/9

Solve for k: 6|-6k-2|-6=2

The solution is k=-5/9 \lor k=-1/9

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6 ∣ - 6 k - 2 ∣ - 6 = 2

k = - \frac{5}{9} or k = - \frac{1}{9}

Decimal Notation

k = - 0.55555 \dots, k = - 0.11111 \dots

Solution steps

6 ∣ - 6 k - 2 ∣ - 6 = 2

Move

6

to the right side

6 ∣ - 6 k - 2 ∣ = 8

Divide both sides by

6

∣ - 6 k - 2 ∣ = \frac{4}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 k - 2 = - \frac{4}{3} or - 6 k - 2 = \frac{4}{3}

- 6 k - 2 = - \frac{4}{3} or - 6 k - 2 = \frac{4}{3}

k = - \frac{5}{9} or k = - \frac{1}{9}

∣ x - 3 ∣ = 2 x + 11

4 + 5 ∣ 2 x - 1 ∣ = 34

∣ 2 x + 7 ∣ = 51

- 3 ∣ 5 g + 1 ∣ - 6 = - 9

∣ a + 4 ∣ = 15

What is the answer to 6|-6k-2|-6=2 ?
The answer to 6|-6k-2|-6=2 is k=-5/9 \lor k=-1/9
Solve for k: 6|-6k-2|-6=2
The solution is k=-5/9 \lor k=-1/9