Solve 4(2-3p)+p=8+8(6-p)

$$4 ( 2 - 3 p ) + p = 8 + 8 ( 6 - p )$$

Solve for p

$$p=-16$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2-3p.

$$8-12p+p=8+8\left(6-p\right)$$

Combine -12p and p to get -11p.

$$8-11p=8+8\left(6-p\right)$$

Use the distributive property to multiply 8 by 6-p.

$$8-11p=8+48-8p$$

Add 8 and 48 to get 56.

$$8-11p=56-8p$$

Add 8p to both sides.

$$8-11p+8p=56$$

Combine -11p and 8p to get -3p.

$$8-3p=56$$

Subtract 8 from both sides.

$$-3p=56-8$$

Subtract 8 from 56 to get 48.

$$-3p=48$$

Divide both sides by -3.

$$p=\frac{48}{-3}$$

Divide 48 by -3 to get -16.

$$p=-16$$