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Which expression is equivalent to 3w+3w3w + 3w?\newlineChoices:\newline(A) w6w^6\newline(B) 6w6w\newline(C) w+6w + 6\newline(D) 5w5w

Full solution

Q. Which expression is equivalent to 3w+3w3w + 3w?\newlineChoices:\newline(A) w6w^6\newline(B) 6w6w\newline(C) w+6w + 6\newline(D) 5w5w
  1. Given Expression Simplification: We are given the expression 3w+3w3w + 3w and need to find an equivalent expression from the given choices.\newlineTo simplify 3w+3w3w + 3w, we add the like terms together.\newline3w+3w=(3+3)w=6w3w + 3w = (3 + 3)w = 6w
  2. Comparison with Choices: Now we compare our simplified expression with the given choices.\newline(A) w6w^6 is not correct because it represents ww raised to the power of 66, not the sum of 3w3w and 3w3w.\newline(B) 6w6w is the expression we found by simplifying 3w+3w3w + 3w.\newline(C) w+6w + 6 is not correct because it represents the sum of ww and 66, not the product of 66 and ww.\newline(D) ww22 is not correct because it represents ww33 times ww, not 66 times ww.
  3. Correct Choice: The correct choice that matches our simplified expression 6w6w is (B) 6w6w.

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