Solve p-[5+3p-{5p-(6+p)}]=-3

$$p - [ 5 + 3 p - \{ 5 p - ( 6 + p ) \} ] = - 3$$

Solve for p

$$p=4$$

Steps for Solving Linear Equation

To find the opposite of 6+p, find the opposite of each term.

$$p-\left(5+3p-\left(5p-6-p\right)\right)=-3$$

Combine 5p and -p to get 4p.

$$p-\left(5+3p-\left(4p-6\right)\right)=-3$$

To find the opposite of 4p-6, find the opposite of each term.

$$p-\left(5+3p-4p-\left(-6\right)\right)=-3$$

The opposite of -6 is 6.

$$p-\left(5+3p-4p+6\right)=-3$$

Combine 3p and -4p to get -p.

$$p-\left(5-p+6\right)=-3$$

Add 5 and 6 to get 11.

$$p-\left(11-p\right)=-3$$

To find the opposite of 11-p, find the opposite of each term.

$$p-11-\left(-p\right)=-3$$

The opposite of -p is p.

$$p-11+p=-3$$

Combine p and p to get 2p.

$$2p-11=-3$$

Add 11 to both sides.

$$2p=-3+11$$

Add -3 and 11 to get 8.

$$2p=8$$

Divide both sides by 2.

$$p=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$p=4$$