What is the answer to -4|2w+6|=-32 ?

The answer to -4|2w+6|=-32 is w=-7\lor w=1

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-4|2w+6|=-32

- 4 ∣ 2 w + 6 ∣ = - 32

w = - 7 or w = 1

Solution steps

- 4 ∣ 2 w + 6 ∣ = - 32

Divide both sides by

- 4

∣ 2 w + 6 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 w + 6 = - 8 or 2 w + 6 = 8

2 w + 6 = - 8 or 2 w + 6 = 8

w = - 7 or w = 1

\frac{2}{5} + \frac{3}{2}

\frac{2}{3} x - 4 = \frac{2}{5}

x + 6 = - x - 6

\frac{4 x}{5} - 3 = 10

4 \cdot \frac{2}{3}