What is the answer to 8|3-3n|-5=91 ?

The answer to 8|3-3n|-5=91 is n=-3\lor n=5

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8|3-3n|-5=91

8 ∣ 3 - 3 n ∣ - 5 = 91

n = - 3 or n = 5

Solution steps

8 ∣ 3 - 3 n ∣ - 5 = 91

Move

5

to the right side

8 ∣ 3 - 3 n ∣ = 96

Divide both sides by

8

∣ 3 - 3 n ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 3 n = - 12 or 3 - 3 n = 12

3 - 3 n = - 12 or 3 - 3 n = 12

n = - 3 or n = 5

∣ 2 x - 3 ∣ + 2 = 5

∣ 6 x - 2 ∣ = 7

5 ∣ 8 n + 6 ∣ - 4 = 106

\frac{x}{3} = 3

∣ 3 - m ∣ = 12