What is the answer to 3|3c+6|+5=32 ?

The answer to 3|3c+6|+5=32 is c=-5\lor c=1

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3|3c+6|+5=32

3 ∣ 3 c + 6 ∣ + 5 = 32

c = - 5 or c = 1

Solution steps

3 ∣ 3 c + 6 ∣ + 5 = 32

Move

5

to the right side

3 ∣ 3 c + 6 ∣ = 27

Divide both sides by

3

∣ 3 c + 6 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 c + 6 = - 9 or 3 c + 6 = 9

3 c + 6 = - 9 or 3 c + 6 = 9

c = - 5 or c = 1

∣ z ∣^{2} = 4 z

38 - 6 ∣ 2 + 4 n ∣ = 2

x^{2} - 1 = ∣ x - 1 ∣

∣ 9 x - 1 ∣ + 3 = 8

x + ∣ y ∣ - y = 12