What is the answer to 16=|-2z|-2 ?

The answer to 16=|-2z|-2 is z=-9\lor z=9

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16=|-2z|-2

16 = ∣ - 2 z ∣ - 2

z = - 9 or z = 9

Solution steps

16 = ∣ - 2 z ∣ - 2

Switch sides

∣ - 2 z ∣ - 2 = 16

Move

2

to the right side

∣ - 2 z ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 z = - 18 or - 2 z = 18

- 2 z = - 18 or - 2 z = 18

z = - 9 or z = 9

\frac{2 t - 5}{3} = 1

3 ∣ 2 x - 7 ∣ + 5 = 11

∣ 4 x + 5 ∣ - 2 = 18

∣ 5 x - 1 ∣ + 4 = 1

x^{2} - 5 ∣ x ∣ - 4 = 0