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On evaluating algebraic expression -3(4s - 2t) - 4(2s + 3t), answer will be

  • A.−20s - 6t
  • B.−6s + 20t
  • C.21s - 7t
  • D.23s + 8t

Answer: A

Expand both brackets, distributing the negative signs.

\[ -3(4s - 2t) = -12s + 6t \]

\[ -4(2s + 3t) = -8s - 12t \]

\[ (-12s - 8s) + (6t - 12t) = -20s - 6t \]

The \( -3 \) turns \( -2t \) into \( +6t \), which is the sign most often lost.

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