What is the answer to -8=-2|p+3| ?

The answer to -8=-2|p+3| is p=-7\lor p=1

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-8=-2|p+3|

- 8 = - 2 ∣ p + 3 ∣

p = - 7 or p = 1

Solution steps

- 8 = - 2 ∣ p + 3 ∣

Switch sides

- 2 ∣ p + 3 ∣ = - 8

Divide both sides by

- 2

∣ p + 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

p + 3 = - 4 or p + 3 = 4

p + 3 = - 4 or p + 3 = 4

p = - 7 or p = 1

\frac{3 x + 8}{8} = 1

∣ 6 x ∣ = x^{2} - 7

5 - ∣ n - 9 ∣ = 3

∣ 4 x - 4 ∣ = 16

∣ b ∣ + 4 = 8