What is the answer to -8|6n-7|-6=-14 ?

The answer to -8|6n-7|-6=-14 is n=1\lor n= 4/3

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-8|6n-7|-6=-14

- 8 ∣ 6 n - 7 ∣ - 6 = - 14

n = 1 or n = \frac{4}{3}

Decimal Notation

n = 1, n = 1.33333 \dots

Solution steps

- 8 ∣ 6 n - 7 ∣ - 6 = - 14

Move

6

to the right side

- 8 ∣ 6 n - 7 ∣ = - 8

Divide both sides by

- 8

∣ 6 n - 7 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 n - 7 = - 1 or 6 n - 7 = 1

6 n - 7 = - 1 or 6 n - 7 = 1

n = 1 or n = \frac{4}{3}

∣ 2 x - 1 ∣ = - 7

∣ 4 x + 5 ∣ - 2 = 22

∣ - 7 n ∣ = 7

∣ 2 x + 2 ∣ = 4 x - 8

x^{2} - ∣ x ∣ - 1 = 0

What is the answer to -8|6n-7|-6=-14 ?
The answer to -8|6n-7|-6=-14 is n=1\lor n= 4/3
Solve for n: -8|6n-7|-6=-14
The solution is n=1\lor n= 4/3