Question

What is the value of the variable in 3(1+p)=-5(p+1) and can you be very detailed ?

Answer 1

From the problem, we have :

`3(1+p)=-5(p+1)`

Distribute or multiply the number outside the parenthesis.

`\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=(-8)/(8) \\ p=-1 \end{gathered}`

ANSWER :

The value of p is -1