What is the answer to |-6n+7|=37 ?

The answer to |-6n+7|=37 is n=-5\lor n= 22/3

Solve for n: |-6n+7|=37

The solution is n=-5\lor n= 22/3

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∣ - 6 n + 7 ∣ = 37

n = - 5 or n = \frac{22}{3}

Decimal Notation

n = - 5, n = 7.33333 \dots

Solution steps

∣ - 6 n + 7 ∣ = 37

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 n + 7 = - 37 or - 6 n + 7 = 37

- 6 n + 7 = - 37 or - 6 n + 7 = 37

n = - 5 or n = \frac{22}{3}

204 = ∣ z - 300 ∣ + 4

∣ p - 4 ∣ = 5

3 ∣ 2 x - 3 ∣ + 1 = 16

2 + 6 ∣ - 4 x - 4 ∣ = - 10

- 4 = ∣ n + 2 ∣