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

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

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-5| n/8 |=-5

- 5 \frac{n}{8} = - 5

n = - 8 or n = 8

Solution steps

- 5 \frac{n}{8} = - 5

Divide both sides by

- 5

\frac{n}{8} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{n}{8} = - 1 or \frac{n}{8} = 1

\frac{n}{8} = - 1 or \frac{n}{8} = 1

n = - 8 or n = 8

2 ∣ x + 2 ∣ = 0

∣ x - 20.9 ∣ = - 5.3

∣ 9 - x ∣ = 4

3 ∣ x - 4 ∣ - 8 = 1

∣ 4 x - 6 ∣ = x + 9