What is the answer to -5|n+5|=-65 ?

The answer to -5|n+5|=-65 is n=-18\lor n=8

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-5|n+5|=-65

- 5 ∣ n + 5 ∣ = - 65

n = - 18 or n = 8

Solution steps

- 5 ∣ n + 5 ∣ = - 65

Divide both sides by

- 5

∣ n + 5 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n + 5 = - 13 or n + 5 = 13

n + 5 = - 13 or n + 5 = 13

n = - 18 or n = 8

∣ 4 x - 7 ∣ = 39

∣ 4 x - 7 ∣ = 19

∣ 4 x - 8 ∣ + 1 = 5 x^{5} x

- 20 = - ∣ q ∣

∣ d - 1 ∣ = 5