What is the answer to 5|q+6|+4=24 ?

The answer to 5|q+6|+4=24 is q=-10\lor q=-2

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5|q+6|+4=24

5 ∣ q + 6 ∣ + 4 = 24

q = - 10 or q = - 2

Solution steps

5 ∣ q + 6 ∣ + 4 = 24

Move

4

to the right side

5 ∣ q + 6 ∣ = 20

Divide both sides by

5

∣ q + 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

q + 6 = - 4 or q + 6 = 4

q + 6 = - 4 or q + 6 = 4

q = - 10 or q = - 2

∣ 3 x + 5 ∣ = - 1

\frac{∣ r - 7 ∣}{3} = 2

- 2 ∣ v + 4 ∣ = - 20

5 = ∣ - 2 (x) - 3 ∣

∣ 4 x - 3 ∣ + 4 = 9