What is the answer to 2|3v-6|+12=12 ?

The answer to 2|3v-6|+12=12 is v=2

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2|3v-6|+12=12

2 ∣ 3 v - 6 ∣ + 12 = 12

v = 2

Solution steps

2 ∣ 3 v - 6 ∣ + 12 = 12

Subtract

12

from both sides

2 ∣ 3 v - 6 ∣ + 12 - 12 = 12 - 12

Simplify

2 ∣ 3 v - 6 ∣ = 0

Divide both sides by

2

∣ 3 v - 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 v - 6 = 0

3 v - 6 = 0 : v = 2

v = 2

- 8 = - 2 ∣ q ∣

∣ 5 x + 9 ∣ - 18 = 0

∣ n - 6 ∣ = 13

∣ 2 x - 3 ∣ + 4 = 2

∣ 3 x - 2 ∣ = 2 x + 5