What is the answer to 4-6|4+8n|=-116 ?

The answer to 4-6|4+8n|=-116 is n=-3\lor n=2

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4-6|4+8n|=-116

4 - 6 ∣ 4 + 8 n ∣ = - 116

n = - 3 or n = 2

Solution steps

4 - 6 ∣ 4 + 8 n ∣ = - 116

Move

4

to the right side

- 6 ∣ 4 + 8 n ∣ = - 120

Divide both sides by

- 6

∣ 4 + 8 n ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + 8 n = - 20 or 4 + 8 n = 20

4 + 8 n = - 20 or 4 + 8 n = 20

n = - 3 or n = 2

∣ 2 x + 6 ∣ = 10

∣ f - 5 ∣ = 3

∣ 3 x - 2 ∣ = 4 x

5 ∣ x + 8 ∣ + 1 = 9

∣ 5 x - 8 ∣ = 10

What is the answer to 4-6|4+8n|=-116 ?
The answer to 4-6|4+8n|=-116 is n=-3\lor n=2
Solve for n: 4-6|4+8n|=-116
The solution is n=-3\lor n=2