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Which expression is equivalent to 5(q+8)5(q + 8)?\newlineChoices:\newline(A) 5q+405q + 40\newline(B) 13q13q\newline(C) 40q+540q + 5\newline(D) 40q40q

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Q. Which expression is equivalent to 5(q+8)5(q + 8)?\newlineChoices:\newline(A) 5q+405q + 40\newline(B) 13q13q\newline(C) 40q+540q + 5\newline(D) 40q40q
  1. Distribute Terms: Distribute the 55 to both terms inside the parentheses.5(q+8)=5⋅q+5⋅85(q + 8) = 5\cdot q + 5\cdot 8
  2. Multiply Terms: Multiply 55 by qq and 55 by 88.5×q=5q5\times q = 5q5×8=405\times 8 = 40So,5(q+8)=5q+40So, 5(q + 8) = 5q + 40
  3. Check Answer Choices: Check the answer choices to find the equivalent expression. The correct choice is (A)5q+40(A)5q + 40, which matches our calculation.

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