Solve left(p+2-1-pright)2+left(p+1-6-2pright)2=52

$$\left( p+2-1-p \right) 2+ \left( p+1-6-2p \right) 2 = 52$$

Solve for p

$$p=-30$$

Steps for Solving Linear Equation

Subtract 1 from 2 to get 1.

$$\left(p+1-p\right)\times 2+\left(p+1-6-2p\right)\times 2=52$$

Combine p and -p to get 0.

$$1\times 2+\left(p+1-6-2p\right)\times 2=52$$

Multiply 1 and 2 to get 2.

$$2+\left(p+1-6-2p\right)\times 2=52$$

Subtract 6 from 1 to get -5.

$$2+\left(p-5-2p\right)\times 2=52$$

Combine p and -2p to get -p.

$$2+\left(-p-5\right)\times 2=52$$

Use the distributive property to multiply -p-5 by 2.

$$2-2p-10=52$$

Subtract 10 from 2 to get -8.

$$-8-2p=52$$

Add 8 to both sides.

$$-2p=52+8$$

Add 52 and 8 to get 60.

$$-2p=60$$

Divide both sides by -2.

$$p=\frac{60}{-2}$$

Divide 60 by -2 to get -30.

$$p=-30$$