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Combine like terms: 2x + 3y + 4z + 3x + 4y + 5z

1 Answer

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Answer:

5x + 7y + 9z

Explanation:

Like terms are terms that have the same exponent and variable. In this expression, everything has the same exponent, so only variables matter.

Combing x-values

When combing a lot of like terms, we can do it one variable at a time. So take all of the terms that have x in them, 2x and 3x, and add them together.

  • 2x + 3x = 5x

Combing y-values

Now, we can take the terms that have a y-variable. This means 3y and 4y.

  • 3y +4y = 7y

Combing z-values

Finally, to fully simplify the expression we can take the final terms, 4z and 5z.

  • 4z + 5z = 9z

Final Expression

Once all of the like terms are combined we can rewrite the expression with the values we have created. The final answer is 5x + 7y + 9z.

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