What is the answer to 8-2|3n+7|=-54 ?

The answer to 8-2|3n+7|=-54 is n=-38/3 \lor n=8

Solve for n: 8-2|3n+7|=-54

The solution is n=-38/3 \lor n=8

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8 - 2 ∣ 3 n + 7 ∣ = - 54

n = - \frac{38}{3} or n = 8

Decimal Notation

n = - 12.66666 \dots, n = 8

Solution steps

8 - 2 ∣ 3 n + 7 ∣ = - 54

Move

8

to the right side

- 2 ∣ 3 n + 7 ∣ = - 62

Divide both sides by

- 2

∣ 3 n + 7 ∣ = 31

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 n + 7 = - 31 or 3 n + 7 = 31

3 n + 7 = - 31 or 3 n + 7 = 31

n = - \frac{38}{3} or n = 8

- 5 ∣ m ∣ = 5

2 ∣ 8 x + 1 ∣ + 1 = 6

3 ∣ y + 4 ∣ - 9 = 0

∣ 2 x ∣ = 6 - x

∣ 8 x + 2 ∣ = 10

What is the answer to 8-2|3n+7|=-54 ?
The answer to 8-2|3n+7|=-54 is n=-38/3 \lor n=8
Solve for n: 8-2|3n+7|=-54
The solution is n=-38/3 \lor n=8