What is the answer to -8=-2|v+7| ?

The answer to -8=-2|v+7| is v=-11\lor v=-3

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-8=-2|v+7|

- 8 = - 2 ∣ v + 7 ∣

v = - 11 or v = - 3

Solution steps

- 8 = - 2 ∣ v + 7 ∣

Switch sides

- 2 ∣ v + 7 ∣ = - 8

Divide both sides by

- 2

∣ v + 7 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v + 7 = - 4 or v + 7 = 4

v + 7 = - 4 or v + 7 = 4

v = - 11 or v = - 3

\frac{∣ b + 8 ∣}{8} = 3

∣ 5 x - 4 ∣ + 2 = 2

∣ n + 5 ∣ = 5

7 ∣ h ∣ = 0

∣ x ∣ + 2 = - 5