Solve 2[(p+2-1-p)+(p+1)-(-2p)]=52

$$2 [ ( p + 2 - 1 - p ) + ( p + 1 ) - ( - 2 p ) ] = 52$$

Solve for p

$$p=8$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$p+2-1-p+p+1-\left(-2p\right)=\frac{52}{2}$$

Divide 52 by 2 to get 26.

$$p+2-1-p+p+1-\left(-2p\right)=26$$

Subtract 1 from 2 to get 1.

$$p+1-p+p+1-\left(-2p\right)=26$$

Combine p and -p to get 0.

$$1+p+1-\left(-2p\right)=26$$

Add 1 and 1 to get 2.

$$2+p-\left(-2p\right)=26$$

The opposite of -2p is 2p.

$$2+p+2p=26$$

Combine p and 2p to get 3p.

$$2+3p=26$$

Subtract 2 from both sides.

$$3p=26-2$$

Subtract 2 from 26 to get 24.

$$3p=24$$

Divide both sides by 3.

$$p=\frac{24}{3}$$

Divide 24 by 3 to get 8.

$$p=8$$