What is the answer to 2|-5n|-2=38 ?

The answer to 2|-5n|-2=38 is n=-4\lor n=4

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2|-5n|-2=38

2 ∣ - 5 n ∣ - 2 = 38

n = - 4 or n = 4

Solution steps

2 ∣ - 5 n ∣ - 2 = 38

Move

2

to the right side

2 ∣ - 5 n ∣ = 40

Divide both sides by

2

∣ - 5 n ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 n = - 20 or - 5 n = 20

- 5 n = - 20 or - 5 n = 20

n = - 4 or n = 4

7 ∣ x - 4 ∣ = 10

7 ∣ x - 4 ∣ = 24

∣ x + 9 ∣ = 7

- 3 ∣ 2 w ∣ = - 6

x^{2} - 4 ∣ x ∣ + 4 = 0