Answer:
[tex]\boxed {p = -7}[/tex]
Step-by-step explanation:
Solve for the value of [tex]p[/tex]:
[tex]-3 + 4p = -31[/tex]
-Add both sides by [tex]3[/tex]:
[tex]-3 + 3 + 4p = -31 + 3[/tex]
[tex]4p = -28[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]\frac{4p}{4} = \frac{-28}{4}[/tex]
[tex]\boxed {p = -7}[/tex]
Therefore, the value of [tex]p[/tex] is [tex]-7[/tex].