What is the answer to |-3w|+4=8 ?

The answer to |-3w|+4=8 is w=-4/3 \lor w= 4/3

Solve for w: |-3w|+4=8

The solution is w=-4/3 \lor w= 4/3

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∣ - 3 w ∣ + 4 = 8

w = - \frac{4}{3} or w = \frac{4}{3}

Solution steps

∣ - 3 w ∣ + 4 = 8

Move

4

to the right side

∣ - 3 w ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 w = - 4 or - 3 w = 4

- 3 w = - 4 or - 3 w = 4

w = - \frac{4}{3} or w = \frac{4}{3}

∣ - 6 x ∣ + 12 = 36

∣ 2 x + 5 ∣ - 6 = 4

- 5 = ∣ - 2 k ∣ - 5

∣ v ∣ - 9 = - 4

∣ 2 x - 4 ∣ + \geq = 2