What is the answer to -7*|z+11|=-105 ?

The answer to -7*|z+11|=-105 is z=-26\lor z=4

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-7*|z+11|=-105

- 7 \cdot ∣ z + 11 ∣ = - 105

z = - 26 or z = 4

Solution steps

- 7 ∣ z + 11 ∣ = - 105

Divide both sides by

- 7

∣ z + 11 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

z + 11 = - 15 or z + 11 = 15

z + 11 = - 15 or z + 11 = 15

z = - 26 or z = 4

∣ 2 x + 6 ∣ = 7

∣ 2 x + 6 ∣ = 6

∣ 2 x + 6 ∣ = 5

3 ∣ x - 1 ∣ - 9 = 0

x^{2} - ∣ x ∣ - 72 = 0

What is the answer to -7*|z+11|=-105 ?
The answer to -7*|z+11|=-105 is z=-26\lor z=4
Solve for z: -7*|z+11|=-105
The solution is z=-26\lor z=4