From the problem, we have :
[tex]3(1+p)=-5(p+1)[/tex]Distribute or multiply the number outside the parenthesis.
[tex]\begin{gathered} 3+3p=-5p-5 \\ \text{add 5p to both sides of the equation :} \\ 3+3p+5p=\cancel{-5p}-5+\cancel{5p} \\ 8p+3=-5 \\ \text{Subtract 3 from both sides of the equation :} \\ 8p+\cancel{3}-\cancel{3}=-5-3 \\ 8p=-8 \\ \text{Divide both sides by 8 :} \\ p=\frac{-8}{8} \\ p=-1 \end{gathered}[/tex]ANSWER :
The value of p is -1
