Math

QuestionSimplify the expression by combining like terms: 6x12+8y+16x-6x - 12 + 8y + 16x.

Studdy Solution

STEP 1

Assumptions1. We are given the expression 6x12+8y+16x-6x -12 +8y +16x. . We need to simplify the expression by combining like terms.
3. Like terms are terms that contain the same variables raised to the same power.

STEP 2

Identify the like terms in the expression. In this case, the like terms are the terms with the variable xx and the constant terms.
6xand16xareliketerms.-6x \, and \,16x \, are \, like \, terms. 12isaconstantterm.-12 \, is \, a \, constant \, term.

STEP 3

Combine the like terms by adding or subtracting them.
6x+16x=10x-6x +16x =10x

STEP 4

The term 8y8y does not have any like terms, so it remains as is.

STEP 5

Combine the simplified like terms and the remaining terms to form the simplified expression.
10x+8y1210x +8y -12The simplified expression is 10x+8y1210x +8y -12.

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