What is the answer to -3|2n+8|+7=-11 ?

The answer to -3|2n+8|+7=-11 is n=-7\lor n=-1

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-3|2n+8|+7=-11

- 3 ∣ 2 n + 8 ∣ + 7 = - 11

n = - 7 or n = - 1

Solution steps

- 3 ∣ 2 n + 8 ∣ + 7 = - 11

Move

7

to the right side

- 3 ∣ 2 n + 8 ∣ = - 18

Divide both sides by

- 3

∣ 2 n + 8 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 n + 8 = - 6 or 2 n + 8 = 6

2 n + 8 = - 6 or 2 n + 8 = 6

n = - 7 or n = - 1

- 2 ∣ 2 x - 2 ∣ = 8

∣ - 5 s ∣ = 80

x^{2} - 2 x - 3 = 3 x - 3

x, ∣ 5 - 3 x ∣ = 5

∣ z - 4 ∣ = 2

What is the answer to -3|2n+8|+7=-11 ?
The answer to -3|2n+8|+7=-11 is n=-7\lor n=-1
Solve for n: -3|2n+8|+7=-11
The solution is n=-7\lor n=-1