What is the answer to 12=71-|5p+9| ?

The answer to 12=71-|5p+9| is p=-68/5 \lor p=10

Solve for p: 12=71-|5p+9|

The solution is p=-68/5 \lor p=10

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12 = 71 - ∣ 5 p + 9 ∣

p = - \frac{68}{5} or p = 10

Decimal Notation

p = - 13.6, p = 10

Solution steps

12 = 71 - ∣ 5 p + 9 ∣

Move

∣ 5 p + 9 ∣

to the left side

12 + ∣ 5 p + 9 ∣ = 71

Move

12

to the right side

∣ 5 p + 9 ∣ = 59

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 p + 9 = - 59 or 5 p + 9 = 59

5 p + 9 = - 59 or 5 p + 9 = 59

p = - \frac{68}{5} or p = 10

∣ 2 x - 3 ∣ + 5 = 4

4 - 3 ∣ x ∣ = 10

∣ a ∣ = a + 4

∣ 2 x - 18 ∣ = 4 x

∣ 6 z - 3 ∣ = 7

What is the answer to 12=71-|5p+9| ?
The answer to 12=71-|5p+9| is p=-68/5 \lor p=10
Solve for p: 12=71-|5p+9|
The solution is p=-68/5 \lor p=10