What is the answer to | 3/5 z-3|-8=4 ?

The answer to | 3/5 z-3|-8=4 is z=-15\lor z=25

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| 3/5 z-3|-8=4

\frac{3}{5} z - 3 - 8 = 4

z = - 15 or z = 25

Solution steps

\frac{3}{5} z - 3 - 8 = 4

Move

8

to the right side

\frac{3}{5} z - 3 = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3}{5} z - 3 = - 12 or \frac{3}{5} z - 3 = 12

\frac{3}{5} z - 3 = - 12 or \frac{3}{5} z - 3 = 12

z = - 15 or z = 25

∣ x - 2.5 ∣ = 6

∣ x - 1 ∣ = ∣ 2 x + 1 ∣ - 1

∣ 3 - 7 x ∣ = 19

2 ∣ 5 x ∣ = 50

∣ x + 3 ∣ = 3 + 2 x

What is the answer to | 3/5 z-3|-8=4 ?
The answer to | 3/5 z-3|-8=4 is z=-15\lor z=25
Solve for z: | 3/5 z-3|-8=4
The solution is z=-15\lor z=25