What is the answer to 3|q+6|=4q-1 ?

The answer to 3|q+6|=4q-1 is q=19

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3|q+6|=4q-1

3 ∣ q + 6 ∣ = 4 q - 1

q = 19

Solution steps

3 ∣ q + 6 ∣ = 4 q - 1

Find positive and negative intervals

q < - 6, q \geq - 6

Solve the inequality for each interval

No Solution or q = 19

q = 19

- 7 ∣ 6 k - 4 ∣ = - 56

x^{2} - 6 ∣ x ∣ = 0

∣ 4 x - 20 ∣ - 9 = - 5

∣ 4 - 2 x ∣ = 10

∣ 3 x + 2 ∣ + 4 = 4