Solving Multi-Step Equations Review (with properties)

• Distribute

• Combine Like Terms

• Move the Variable

• Undo Addition/Subtraction

• Undo Multiplication/Division

But what were those properties again?

That means we multiply the 5 times the 1 AND multiply 5 times -8p.

Like terms that are on the SAME SIDE of the equal sign can be combined. Numbers that both do not have variables are like terms, which is why we combine 5 and +2.

You do not need to move any variables (because there is only one variable on one side). So we go to undoing addition or subtraction. Remember to work from the outside in toward the variable. So subtracting 7 from both sides is what we do.

In order to get the variable by itself we need to undo the multiplication of -40. We use division to undo multiplication, so dividing by -40 on both sides is what we should do.

To check if a solution is correct, you can substitute the answer back in to the original equation and see if it gives you a "true" equality.