What is the answer to |-3z-8|+7=7 ?

The answer to |-3z-8|+7=7 is z=-8/3

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|-3z-8|+7=7

∣ - 3 z - 8 ∣ + 7 = 7

z = - \frac{8}{3}

Decimal

z = - 2.66666 \dots

Solution steps

∣ - 3 z - 8 ∣ + 7 = 7

Subtract

7

from both sides

∣ - 3 z - 8 ∣ + 7 - 7 = 7 - 7

Simplify

∣ - 3 z - 8 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

- 3 z - 8 = 0

- 3 z - 8 = 0 : z = - \frac{8}{3}

z = - \frac{8}{3}

x^{2} - 24 = - 2 x

x^{2} - 2 x - 1 = 1

∣ x ∣ = 25.1

4 - 4 ∣ 6 x + 6 ∣ = - 116

∣ y + 4 ∣ - 1 = 4