What is the answer to |8-p|-5=-4 ?

The answer to |8-p|-5=-4 is p=7\lor p=9

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|8-p|-5=-4

∣ 8 - p ∣ - 5 = - 4

p = 7 or p = 9

Solution steps

∣ 8 - p ∣ - 5 = - 4

Move

5

to the right side

∣ 8 - p ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - p = - 1 or 8 - p = 1

8 - p = - 1 or 8 - p = 1

p = 7 or p = 9

- 3 \frac{v}{0} = - 2

2 ∣ 4 x - 5 ∣ = 12 x - 18

∣ 2 x + 3 ∣ - 1 = 4

- 9 ∣ - 3 r + 1 ∣ - 7 = - 52

- ∣ x + 10 ∣ = 0