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By solving algebraic expression 2(3m -4n +5) -3(2m -3n +4), answer should be

  • A.m + 2
  • B.n - 2
  • C.3m + n - 3
  • D.n + 2

Answer: B

Expand both brackets and collect.

\[ 2(3m - 4n + 5) = 6m - 8n + 10 \]

\[ -3(2m - 3n + 4) = -6m + 9n - 12 \]

\[ (6m - 6m) + (-8n + 9n) + (10 - 12) = n - 2 \]

The \( m \) terms cancel entirely, which is why no \( m \) appears in the answer.

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