Q. Combine the like terms to create an equivalent expression:8n+12+(−9)−(−6n)
Identify and group like terms: Identify and group like terms in the expression 8n+12+(−9)−(−6n).Like terms are terms that contain the same variable raised to the same power. Here, 8n and −6n are like terms, and 12 and −9 are like terms.Grouping like terms: (8n−6n)+(12−9)
Combine like terms involving variable n: Combine the like terms that involve the variable n: 8n−6n.To combine, subtract the coefficients: 8−6=2.So, 8n−6n=2n.
Combine constant terms: Combine the constant terms: 12−9.To combine, subtract the numbers: 12−9=3.So, 12−9=3.
Write simplified expression: Write the simplified expression by combining the results from the previous steps.The simplified expression is 2n+3.
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