What is the answer to |9-5n|=14 ?

The answer to |9-5n|=14 is n=-1\lor n= 23/5

Solve for n: |9-5n|=14

The solution is n=-1\lor n= 23/5

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∣ 9 - 5 n ∣ = 14

n = - 1 or n = \frac{23}{5}

Decimal Notation

n = - 1, n = 4.6

Solution steps

∣ 9 - 5 n ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 5 n = - 14 or 9 - 5 n = 14

9 - 5 n = - 14 or 9 - 5 n = 14

n = - 1 or n = \frac{23}{5}

- 10 ∣ x + 2 ∣ = 70

∣ y - 6 ∣ + 2 y = 9

3 e^{x} - 2 = e^{∣ x ∣}

∣ 8 x + 4 ∣ = 76

∣ 5 x - 1 ∣ - 5 = 44