What is the answer to -7*|z+6|=-189 ?

The answer to -7*|z+6|=-189 is z=-33\lor z=21

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-7*|z+6|=-189

- 7 \cdot ∣ z + 6 ∣ = - 189

z = - 33 or z = 21

Solution steps

- 7 ∣ z + 6 ∣ = - 189

Divide both sides by

- 7

∣ z + 6 ∣ = 27

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

z + 6 = - 27 or z + 6 = 27

z + 6 = - 27 or z + 6 = 27

z = - 33 or z = 21

∣ x - 2 ∣ = 23

∣ x - 2 ∣ = 27

∣ x + 10 ∣ = 27

∣ x - 12 ∣ = 0

2 ∣ 3 x - 5 ∣ + 4 = 20

What is the answer to -7*|z+6|=-189 ?
The answer to -7*|z+6|=-189 is z=-33\lor z=21
Solve for z: -7*|z+6|=-189
The solution is z=-33\lor z=21