What is the answer to -3|6k+1|+1=-86 ?

The answer to -3|6k+1|+1=-86 is k=-5\lor k= 14/3

Solve for k: -3|6k+1|+1=-86

The solution is k=-5\lor k= 14/3

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- 3 ∣ 6 k + 1 ∣ + 1 = - 86

k = - 5 or k = \frac{14}{3}

Decimal Notation

k = - 5, k = 4.66666 \dots

Solution steps

- 3 ∣ 6 k + 1 ∣ + 1 = - 86

Move

1

to the right side

- 3 ∣ 6 k + 1 ∣ = - 87

Divide both sides by

- 3

∣ 6 k + 1 ∣ = 29

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 k + 1 = - 29 or 6 k + 1 = 29

6 k + 1 = - 29 or 6 k + 1 = 29

k = - 5 or k = \frac{14}{3}

5 \frac{1}{2} r + 3 = 5

6 ∣ - 4 x - 5 ∣ - 12 = 30

∣ 9 x ∣ = 0

2 ∣ 2 x - 7 ∣ + 11 = 25

∣ x - 1 ∣ = 2 x + 4

What is the answer to -3|6k+1|+1=-86 ?
The answer to -3|6k+1|+1=-86 is k=-5\lor k= 14/3
Solve for k: -3|6k+1|+1=-86
The solution is k=-5\lor k= 14/3