What is the answer to 6|8q+7|=6 ?

The answer to 6|8q+7|=6 is q=-1\lor q=-3/4

Solve for q: 6|8q+7|=6

The solution is q=-1\lor q=-3/4

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6 ∣ 8 q + 7 ∣ = 6

q = - 1 or q = - \frac{3}{4}

Solution steps

6 ∣ 8 q + 7 ∣ = 6

Divide both sides by

6

∣ 8 q + 7 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 q + 7 = - 1 or 8 q + 7 = 1

8 q + 7 = - 1 or 8 q + 7 = 1

q = - 1 or q = - \frac{3}{4}

4 ∣ 2 k ∣ = 56

4 ∣ 3 - x ∣ + 3 = 15

- 7 = ∣ p + 5 ∣ - 7

- 3 ∣ x - 4 ∣ = - 9

∣ x + 1 ∣ - 10 = 11