What is the answer to -7|3+n|=-35 ?

The answer to -7|3+n|=-35 is n=-8\lor n=2

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-7|3+n|=-35

- 7 ∣ 3 + n ∣ = - 35

n = - 8 or n = 2

Solution steps

- 7 ∣ 3 + n ∣ = - 35

Divide both sides by

- 7

∣ 3 + n ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

n = - 8 or n = 2

∣ - 2 k ∣ + 9 = - 13

∣ x ∣ = \frac{13}{17}

- 5 ∣ x - 3 ∣ = - 30

- 6 ∣ - 6 n ∣ = - 216

∣ - 6 n - 4 ∣ = - 34