What is the answer to 2-5|5n-5|=-73 ?

The answer to 2-5|5n-5|=-73 is n=-2\lor n=4

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2-5|5n-5|=-73

2 - 5 ∣ 5 n - 5 ∣ = - 73

n = - 2 or n = 4

Solution steps

2 - 5 ∣ 5 n - 5 ∣ = - 73

Move

2

to the right side

- 5 ∣ 5 n - 5 ∣ = - 75

Divide both sides by

- 5

∣ 5 n - 5 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 n - 5 = - 15 or 5 n - 5 = 15

5 n - 5 = - 15 or 5 n - 5 = 15

n = - 2 or n = 4

∣ 4 x + 3 ∣ = 12

∣ 4 q + 9 ∣ = ∣ 2 q - 1 ∣

3 ∣ x + 2 ∣ + 6 = 30

∣ 5 - x ∣ = ∣ x + 4 ∣

\frac{n}{4} = 1

What is the answer to 2-5|5n-5|=-73 ?
The answer to 2-5|5n-5|=-73 is n=-2\lor n=4
Solve for n: 2-5|5n-5|=-73
The solution is n=-2\lor n=4