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Concept

Like Terms

Two or more terms in an algebraic expression are like terms if they have the same variable(s) with the same exponent(s). In this expression, there are three sets of like terms, namely, and

Note that all constants are like terms. Like terms in an expression can be combined—added or subtracted—to rewrite the expression in a simplest form.

Combining Like Terms

To combine like terms, first, rearrange the expression such that the like terms are grouped together.
Grouping Like Terms
Then, like terms can be combined by adding or subtracting the coefficients of the variables as well as adding or subtracting the constants.
Combining Like Terms
This is the simplest form of the initial expression.

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