What is the answer to 4|-p-9|-7=45 ?

The answer to 4|-p-9|-7=45 is p=-22\lor p=4

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4|-p-9|-7=45

4 ∣ - p - 9 ∣ - 7 = 45

p = - 22 or p = 4

Solution steps

4 ∣ - p - 9 ∣ - 7 = 45

Move

7

to the right side

4 ∣ - p - 9 ∣ = 52

Divide both sides by

4

∣ - p - 9 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- p - 9 = - 13 or - p - 9 = 13

- p - 9 = - 13 or - p - 9 = 13

p = - 22 or p = 4

∣ x - 5 ∣ = 5 x + 7

∣ y ∣ = ∣ x ∣

∣ x - 1 ∣ = \frac{1}{3}

∣ n + 1 ∣ - 10 = - 9

3 ∣ 2 x - 7 ∣ + 14 = 2

What is the answer to 4|-p-9|-7=45 ?
The answer to 4|-p-9|-7=45 is p=-22\lor p=4
Solve for p: 4|-p-9|-7=45
The solution is p=-22\lor p=4