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Combine the like terms to create an equivalent expression:

8n+12+(-9)-(-6n)

Combine the like terms to create an equivalent expression:\newline8n+12+(9)(6n)8n+12+(-9)-(-6n)

Full solution

Q. Combine the like terms to create an equivalent expression:\newline8n+12+(9)(6n)8n+12+(-9)-(-6n)
  1. Identify and group like terms: Identify and group like terms in the expression 8n+12+(9)(6n)8n + 12 + (-9) - (-6n).\newlineLike terms are terms that contain the same variable raised to the same power. Here, 8n8n and 6n-6n are like terms, and 1212 and 9-9 are like terms.\newlineGrouping like terms: (8n6n)+(129)(8n - 6n) + (12 - 9)
  2. Combine like terms involving variable n: Combine the like terms that involve the variable n: 8n6n8n - 6n.\newlineTo combine, subtract the coefficients: 86=28 - 6 = 2.\newlineSo, 8n6n=2n8n - 6n = 2n.
  3. Combine constant terms: Combine the constant terms: 12912 - 9.\newlineTo combine, subtract the numbers: 129=312 - 9 = 3.\newlineSo, 129=312 - 9 = 3.
  4. Write simplified expression: Write the simplified expression by combining the results from the previous steps.\newlineThe simplified expression is 2n+32n + 3.

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