What is the answer to -92=-10|2-4n|+8 ?

The answer to -92=-10|2-4n|+8 is n=-2\lor n=3

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-92=-10|2-4n|+8

- 92 = - 10 ∣ 2 - 4 n ∣ + 8

n = - 2 or n = 3

Solution steps

- 92 = - 10 ∣ 2 - 4 n ∣ + 8

Switch sides

- 10 ∣ 2 - 4 n ∣ + 8 = - 92

Move

8

to the right side

- 10 ∣ 2 - 4 n ∣ = - 100

Divide both sides by

- 10

∣ 2 - 4 n ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 4 n = - 10 or 2 - 4 n = 10

2 - 4 n = - 10 or 2 - 4 n = 10

n = - 2 or n = 3

10 - 4 ∣ 4 x + 8 ∣ = - 26

- 3 ∣ x - 6 ∣ - 10 = - 31

4 = ∣ - 3 a + 4 ∣

∣ x - 3 ∣ + 9 = 30

2 = ∣ x ∣ - 1

What is the answer to -92=-10|2-4n|+8 ?
The answer to -92=-10|2-4n|+8 is n=-2\lor n=3
Solve for n: -92=-10|2-4n|+8
The solution is n=-2\lor n=3