What is the answer to | 2/3 z-6|=12 ?

The answer to | 2/3 z-6|=12 is z=-9\lor z=27

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| 2/3 z-6|=12

\frac{2}{3} z - 6 = 12

z = - 9 or z = 27

Solution steps

\frac{2}{3} z - 6 = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2}{3} z - 6 = - 12 or \frac{2}{3} z - 6 = 12

\frac{2}{3} z - 6 = - 12 or \frac{2}{3} z - 6 = 12

z = - 9 or z = 27

5 = ∣ t + 2 ∣

2 ∣ 5 x ∣ - 7 = 5

7 = ∣ - 6 x ∣

4 ∣ 5 x - 8 ∣ - 3 = 5

∣ 1 - 4 x ∣ = 11

What is the answer to | 2/3 z-6|=12 ?
The answer to | 2/3 z-6|=12 is z=-9\lor z=27
Solve for z: | 2/3 z-6|=12
The solution is z=-9\lor z=27