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Which expression is equivalent to 6(w+5)6(w + 5)?\newlineChoices:\newline(A) 30w+630w + 6\newline(B) 30w30w\newline(C) 6w+306w + 30\newline(D) 11w11w

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Q. Which expression is equivalent to 6(w+5)6(w + 5)?\newlineChoices:\newline(A) 30w+630w + 6\newline(B) 30w30w\newline(C) 6w+306w + 30\newline(D) 11w11w
  1. Distribute 66 to ww and 55: Distribute the 66 to both ww and 55.\newline6(w+5)=6⋅w+6⋅56(w + 5) = 6\cdot w + 6\cdot 5
  2. Multiply 66 by ww and 55: Multiply 66 by ww and 66 by 55.
    6×w=6w6\times w = 6w
    6×5=306\times 5 = 30
    So, 6(w+5)=6w+306(w + 5) = 6w + 30
  3. Check given choices: Check the given choices to find the equivalent expression.\newlineThe correct choice is (C) 6w+306w + 30.

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