What is the answer to |-6n-5|=41 ?

The answer to |-6n-5|=41 is n=-23/3 \lor n=6

Solve for n: |-6n-5|=41

The solution is n=-23/3 \lor n=6

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∣ - 6 n - 5 ∣ = 41

n = - \frac{23}{3} or n = 6

Decimal

n = - 7.66666 \dots, n = 6

Solution steps

∣ - 6 n - 5 ∣ = 41

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 n - 5 = - 41 or - 6 n - 5 = 41

- 6 n - 5 = - 41 or - 6 n - 5 = 41

n = - \frac{23}{3} or n = 6

∣ 2 r + 5 ∣ = ∣ 7 r - 32 ∣

∣ 2 x + 3 ∣ = 17

∣ 1 - 3 x ∣ = ∣ 4 x + 5 ∣

2 ∣ x - 3 ∣ + 2 = 5 x - 6

x^{2} - 2 x - 3 = 0