What is the answer to 7|4n+8|-6=106 ?

The answer to 7|4n+8|-6=106 is n=-6\lor n=2

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7|4n+8|-6=106

7 ∣ 4 n + 8 ∣ - 6 = 106

n = - 6 or n = 2

Solution steps

7 ∣ 4 n + 8 ∣ - 6 = 106

Move

6

to the right side

7 ∣ 4 n + 8 ∣ = 112

Divide both sides by

7

∣ 4 n + 8 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n + 8 = - 16 or 4 n + 8 = 16

4 n + 8 = - 16 or 4 n + 8 = 16

n = - 6 or n = 2

- 2 ∣ 3 d ∣ = 4

∣ 3 x - 8 ∣ + 1 = - 3

x^{2} - 6 x + 8 = x - 2

- 10 = 8 - 2 ∣ 3 x ∣

x, y - ∣ x ∣ = 6

What is the answer to 7|4n+8|-6=106 ?
The answer to 7|4n+8|-6=106 is n=-6\lor n=2
Solve for n: 7|4n+8|-6=106
The solution is n=-6\lor n=2