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

The answer to |3z+8|=3 is z=-11/3 \lor z=-5/3

Solve for z: |3z+8|=3

The solution is z=-11/3 \lor z=-5/3

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∣ 3 z + 8 ∣ = 3

z = - \frac{11}{3} or z = - \frac{5}{3}

Decimal Notation

z = - 3.66666 \dots, z = - 1.66666 \dots

Solution steps

∣ 3 z + 8 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 z + 8 = - 3 or 3 z + 8 = 3

3 z + 8 = - 3 or 3 z + 8 = 3

z = - \frac{11}{3} or z = - \frac{5}{3}

∣ t - 3 ∣ - 6 = - 6

∣ a + 6 ∣ + 2 = 5

x = ∣ x ∣

7 ∣ c + 1 ∣ = - 49

\frac{v}{4} = 5