Question

What value of p makes this equation true? 3p − 8 = −23

a. p = -6
b. p = -5
c. p = 5
d. p=6

Answer 1

Answer:

$\boxed{\sf p=-5}$

Step-by-step explanation:

$\sf 3p - 8 = -23$

First, rearrange unknown terms to the left side of the equation:

$\sf 3p=-23+8$

Add -23 + 8 = -15

$\sf 3p=-15$

Divide both sides of the equation by the coefficient of variable "3" :

$\sf \cfrac{3p}{3} =\cfrac{-15}{3}$

Cross out common factor:

$\sf p=-5$

_______________________________________