What is the answer to |8-3n|=16 ?

The answer to |8-3n|=16 is n=-8/3 \lor n=8

Solve for n: |8-3n|=16

The solution is n=-8/3 \lor n=8

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∣ 8 - 3 n ∣ = 16

n = - \frac{8}{3} or n = 8

Decimal Notation

n = - 2.66666 \dots, n = 8

Solution steps

∣ 8 - 3 n ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 3 n = - 16 or 8 - 3 n = 16

8 - 3 n = - 16 or 8 - 3 n = 16

n = - \frac{8}{3} or n = 8

7 - 4 ∣ x - 5 ∣ = - 49

8 ∣ 3 - 3 f ∣ - 5 = 91

1 - ∣ 4 x - 5 ∣ = - 2

225 = ∣ q - 725 ∣

5 - ∣ x ∣ = 1