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

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

Solve for p

$$p=-6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2p+2.

$$6p+6=-\left(-4p+8\right)+2$$

To find the opposite of -4p+8, find the opposite of each term.

$$6p+6=-\left(-4p\right)-8+2$$

The opposite of -4p is 4p.

$$6p+6=4p-8+2$$

Add -8 and 2 to get -6.

$$6p+6=4p-6$$

Subtract 4p from both sides.

$$6p+6-4p=-6$$

Combine 6p and -4p to get 2p.

$$2p+6=-6$$

Subtract 6 from both sides.

$$2p=-6-6$$

Subtract 6 from -6 to get -12.

$$2p=-12$$

Divide both sides by 2.

$$p=\frac{-12}{2}$$

Divide -12 by 2 to get -6.

$$p=-6$$