What is the answer to -|14n+2|=-7 ?

The answer to -|14n+2|=-7 is n=-9/14 \lor n= 5/14

Solve for n: -|14n+2|=-7

The solution is n=-9/14 \lor n= 5/14

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- ∣ 14 n + 2 ∣ = - 7

n = - \frac{9}{14} or n = \frac{5}{14}

Decimal

n = - 0.64285 \dots, n = 0.35714 \dots

Solution steps

- ∣ 14 n + 2 ∣ = - 7

Divide both sides by

- 1

∣ 14 n + 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

14 n + 2 = - 7 or 14 n + 2 = 7

14 n + 2 = - 7 or 14 n + 2 = 7

n = - \frac{9}{14} or n = \frac{5}{14}

2 ∣ 4 x + 2 ∣ = 52

∣ x + 10 ∣ = 11

- 5 ∣ 6 n + 15 ∣ + 2 = - 43

4 = ∣ y ∣

∣ 3 x - 4 ∣ = ∣ 3 x - 5 ∣

What is the answer to -|14n+2|=-7 ?
The answer to -|14n+2|=-7 is n=-9/14 \lor n= 5/14
Solve for n: -|14n+2|=-7
The solution is n=-9/14 \lor n= 5/14