What is the answer to 3-7|-7n+9|=-11 ?

The answer to 3-7|-7n+9|=-11 is n=1\lor n= 11/7

Solve for n: 3-7|-7n+9|=-11

The solution is n=1\lor n= 11/7

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3 - 7 ∣ - 7 n + 9 ∣ = - 11

n = 1 or n = \frac{11}{7}

Decimal Notation

n = 1, n = 1.57142 \dots

Solution steps

3 - 7 ∣ - 7 n + 9 ∣ = - 11

Move

3

to the right side

- 7 ∣ - 7 n + 9 ∣ = - 14

Divide both sides by

- 7

∣ - 7 n + 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 7 n + 9 = - 2 or - 7 n + 9 = 2

- 7 n + 9 = - 2 or - 7 n + 9 = 2

n = 1 or n = \frac{11}{7}

∣ 3 x - 4 ∣ = 17

∣ 3 x - 4 ∣ = 14

∣ 2 q - 8 ∣ = 14

∣ - 6 x + 3 ∣ - 7 = 20

∣ z + 4 ∣ = 16

What is the answer to 3-7|-7n+9|=-11 ?
The answer to 3-7|-7n+9|=-11 is n=1\lor n= 11/7
Solve for n: 3-7|-7n+9|=-11
The solution is n=1\lor n= 11/7