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\( -5 n+7+3 n-5 \) Select the single best answer: A. \( 9-14 n \) B. \( 9-23 n \) C. \( 9-10 n \) D. \( -2 n+2 \)

Ask by May Tyler. in the United States
Feb 11,2025

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Answer

The answer is D.

Solution

Combine like terms: • For n-terms: -5n + 3n = -2n • For constant terms: 7 - 5 = 2 Thus, the simplified expression is -2n + 2. The answer is D.

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Beyond the Answer

To simplify the expression \( -5n + 7 + 3n - 5 \), first, combine like terms. The \( n \) terms are \( -5n + 3n \), which simplifies to \( -2n \). The constant terms are \( 7 - 5 \), which simplifies to \( 2 \). Therefore, the expression simplifies to \( -2n + 2 \). The correct answer is D. \( -2n + 2 \). Now, remember when simplifying expressions, always group the like terms together! It keeps things tidy and makes it easier to spot errors. A common mistake is to forget to combine all the constant terms or variable terms correctly. Take your time to arrange them neatly!

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