What is the answer to -5|4n+6|+2=-8 ?

The answer to -5|4n+6|+2=-8 is n=-2\lor n=-1

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-5|4n+6|+2=-8

- 5 ∣ 4 n + 6 ∣ + 2 = - 8

n = - 2 or n = - 1

Solution steps

- 5 ∣ 4 n + 6 ∣ + 2 = - 8

Move

2

to the right side

- 5 ∣ 4 n + 6 ∣ = - 10

Divide both sides by

- 5

∣ 4 n + 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n + 6 = - 2 or 4 n + 6 = 2

4 n + 6 = - 2 or 4 n + 6 = 2

n = - 2 or n = - 1

\frac{2}{3} x - 1 = 5

∣ x ∣ - 6 = 3

- 8 ∣ x ∣ = - 16

∣ x ∣ - 4 = 5

∣ 2 x + 5 ∣ = - 3 x + 5

What is the answer to -5|4n+6|+2=-8 ?
The answer to -5|4n+6|+2=-8 is n=-2\lor n=-1
Solve for n: -5|4n+6|+2=-8
The solution is n=-2\lor n=-1