What is the answer to 4|-3n+9|-2=10 ?

The answer to 4|-3n+9|-2=10 is n=2\lor n=4

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4|-3n+9|-2=10

4 ∣ - 3 n + 9 ∣ - 2 = 10

n = 2 or n = 4

Solution steps

4 ∣ - 3 n + 9 ∣ - 2 = 10

Move

2

to the right side

4 ∣ - 3 n + 9 ∣ = 12

Divide both sides by

4

∣ - 3 n + 9 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 n + 9 = - 3 or - 3 n + 9 = 3

- 3 n + 9 = - 3 or - 3 n + 9 = 3

n = 2 or n = 4

∣ z + 4 ∣ = 1

∣ 6 x + 9 ∣ + 1 = 4

6 ∣ x - 3 ∣ + 9 = 16

∣ 4 x - 4 ∣ - 8 = 3

∣ x + 1 ∣ - 2 = 10

What is the answer to 4|-3n+9|-2=10 ?
The answer to 4|-3n+9|-2=10 is n=2\lor n=4
Solve for n: 4|-3n+9|-2=10
The solution is n=2\lor n=4