What is the answer to |-3n+22|=5 ?

The answer to |-3n+22|=5 is n= 17/3 \lor n=9

Solve for n: |-3n+22|=5

The solution is n= 17/3 \lor n=9

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∣ - 3 n + 22 ∣ = 5

n = \frac{17}{3} or n = 9

Decimal Notation

n = 5.66666 \dots, n = 9

Solution steps

∣ - 3 n + 22 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 n + 22 = - 5 or - 3 n + 22 = 5

- 3 n + 22 = - 5 or - 3 n + 22 = 5

n = \frac{17}{3} or n = 9

∣ 5 - x ∣ - 10 = 0

∣ a ∣ = - 6

- 2 ∣ y + 2 ∣ = - 20

∣ 5 x - 3 ∣ = - 12

∣ v ∣ = 4