What is the answer to 8z+20=-|2z+4| ?

The answer to 8z+20=-|2z+4| is z=-8/3

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8z+20=-|2z+4|

8 z + 20 = - ∣ 2 z + 4 ∣

z = - \frac{8}{3}

Decimal Notation

z = - 2.66666 \dots

Solution steps

8 z + 20 = - ∣ 2 z + 4 ∣

Find positive and negative intervals

z < - 2, z \geq - 2

Solve the inequality for each interval

z = - \frac{8}{3} or No Solution

z = - \frac{8}{3}

∣ 7 x + 4 ∣ + 5 = 0

∣ x ∣ = - 4

∣ x - 10 ∣ = x^{2} - 10 x

5 - 3 ∣ 2 + 2 w ∣ = - 7

∣ 3 - 6 w ∣ = 39