What is the answer to -2|p+6|-3=-17 ?

The answer to -2|p+6|-3=-17 is p=-13\lor p=1

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-2|p+6|-3=-17

- 2 ∣ p + 6 ∣ - 3 = - 17

p = - 13 or p = 1

Solution steps

- 2 ∣ p + 6 ∣ - 3 = - 17

Move

3

to the right side

- 2 ∣ p + 6 ∣ = - 14

Divide both sides by

- 2

∣ p + 6 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

p + 6 = - 7 or p + 6 = 7

p + 6 = - 7 or p + 6 = 7

p = - 13 or p = 1

∣ x ∣ - 17 = - 13

∣ 3 x ∣ = - x + 12

2 - 3 ∣ 7 x + 5 ∣ = - 10

8 ∣ 3 - 3 x ∣ - 5 = 91

8 ∣ x + 2 ∣ = 24

What is the answer to -2|p+6|-3=-17 ?
The answer to -2|p+6|-3=-17 is p=-13\lor p=1
Solve for p: -2|p+6|-3=-17
The solution is p=-13\lor p=1