What is the answer to 7|n|+13=34 ?

The answer to 7|n|+13=34 is n=-3\lor n=3

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7|n|+13=34

7 ∣ n ∣ + 13 = 34

n = - 3 or n = 3

Solution steps

7 ∣ n ∣ + 13 = 34

Move

13

to the right side

7 ∣ n ∣ = 21

Divide both sides by

7

∣ n ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n = - 3 or n = 3

x, ∣ x - y ∣ = ∣ x + y ∣

∣ - 9 s - 9 ∣ = 10

m + \frac{2}{3} = 2

2 ∣ x ∣ = 1 + ∣ x - 1 ∣

∣ 3 x + 5 ∣ = ∣ 2 x - 3 ∣