Answer
$- \displaystyle \frac{10}{19}$
Work Step by Step
The aim is, step by step, to isolate p on one side of the equation.
...Multiply out the parentheses, starting with the innermost,
$-(3-p)=-3+p,$
working our way outwards:
$ 4[2p-3+p+5]=-7p-2\qquad$ ... simplify
$ 4(3p+2)=-7p-2\qquad$ ... multiply
$12p+8=-7p-2$
...Subtracting $8$ from both sides removes it from the $LHS$
...Adding $7p$ to both sides removes it from the $RHS$
$12p+8=-7p-2\qquad .../+7p-8$
$ 12p+7p=-2-8\qquad$ ... simplify
$19p=-10$
...Dividing both sides with $19$ isolates $p$ on the LHS.
$p=- \displaystyle \frac{10}{19}$
