What is the answer to 6|p-70|=60 ?

The answer to 6|p-70|=60 is p=60\lor p=80

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6|p-70|=60

6 ∣ p - 70 ∣ = 60

p = 60 or p = 80

Solution steps

6 ∣ p - 70 ∣ = 60

Divide both sides by

6

∣ p - 70 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

p - 70 = - 10 or p - 70 = 10

p - 70 = - 10 or p - 70 = 10

p = 60 or p = 80

- 90 = - 6 ∣ p + 65 ∣

\frac{1}{y} = ∣ x + 3 ∣ - 1

- 3 ∣ 5 - 7 m ∣ = - 6

5 ∣ x ∣ + 3 = 18

∣ y ∣ + 3 = 3