What is the answer to 4|3w+8|=16w ?

The answer to 4|3w+8|=16w is w=8

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4|3w+8|=16w

4 ∣ 3 w + 8 ∣ = 16 w

w = 8

Solution steps

4 ∣ 3 w + 8 ∣ = 16 w

Find positive and negative intervals

w < - \frac{8}{3}, w \geq - \frac{8}{3}

Solve the inequality for each interval

No Solution or w = 8

w = 8

∣ 4 z + 16 ∣ = 2

8 ∣ - 5 + a ∣ - 2 = 102

∣ x + 2 ∣ = 16

∣ x + 2 ∣ = 11

∣ 1 - 3 t ∣ + 4 = 1