What is the answer to |-3z-4|=17 ?

The answer to |-3z-4|=17 is z=-7\lor z= 13/3

Solve for z: |-3z-4|=17

The solution is z=-7\lor z= 13/3

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∣ - 3 z - 4 ∣ = 17

z = - 7 or z = \frac{13}{3}

Decimal Notation

z = - 7, z = 4.33333 \dots

Solution steps

∣ - 3 z - 4 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 z - 4 = - 17 or - 3 z - 4 = 17

- 3 z - 4 = - 17 or - 3 z - 4 = 17

z = - 7 or z = \frac{13}{3}

∣ g - 4 ∣ = - 14

∣ x - 20 ∣ = 4646

∣ 2 - x ∣ = 2

x^{2} - 7 x + 8 = 2

∣ y + 405 ∣ + 3 = 48