Simplify the following expression: 2x - 2y + 5z - 2x - y + 3z
A:x - 3y + 8z B:2x - 2y + 8z C:3y + 8z D:-3y + 8z
-3y + 8z
D
You simplify by combining the "like terms." You combine all the terms with x together. Then you combine all the terms with y together. Then you combine all the terms with z together. 2x - 2y + 5z - 2x - y + 3z 1) Combine like terms You can make this easier to do if you shuffle the terms around a little so that the "like" ones are next to each other. 2x - 2y + 5z - 2x - y + 3z Same as 2x - 2x - 2y - y + 5z + 3z Now you combine 2x with - 2x Then you combine - 2y with - y Then you combine 5z with 3z 2) After you have combined all the like terms, you end up with this: - 3y + 8z <-- answer Answer: - 3y + 8z
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