What is the answer to -3|2w|=-12 ?

The answer to -3|2w|=-12 is w=-2\lor w=2

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-3|2w|=-12

- 3 ∣ 2 w ∣ = - 12

w = - 2 or w = 2

Solution steps

- 3 ∣ 2 w ∣ = - 12

Divide both sides by

- 3

∣ 2 w ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 w = - 4 or 2 w = 4

2 w = - 4 or 2 w = 4

w = - 2 or w = 2

∣ 3 x + 2 ∣ + ∣ 3 - x ∣ = 7

y, y + 7 = ∣ x + 5 ∣

∣ x + 3 ∣ + 6 = 2 x

3 \times ∣ x ∣^{3} = 24

∣ 3 x - 2 ∣ = 3 x - 2