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Select the expressions that are equivalent to 6b+6b6b + 6b.\newlineMulti-select Choices:\newline(A) 3b+6b+3b3b + 6b + 3b\newline(B) 7b+6b7b + 6b\newline(C) 2b+4b+6b2b + 4b + 6b\newline(D) b+12b + 12

Full solution

Q. Select the expressions that are equivalent to 6b+6b6b + 6b.\newlineMulti-select Choices:\newline(A) 3b+6b+3b3b + 6b + 3b\newline(B) 7b+6b7b + 6b\newline(C) 2b+4b+6b2b + 4b + 6b\newline(D) b+12b + 12
  1. Simplify expression: Step 11: Simplify the given expression 6b+6b6b + 6b.\newlineCalculation: 6b+6b=12b6b + 6b = 12b.
  2. Compare with choice (A): Step 22: Compare the simplified expression with choice (A) 3b+6b+3b3b + 6b + 3b. Calculation: 3b+6b+3b=12b3b + 6b + 3b = 12b.
  3. Compare with choice (B): Step 33: Compare the simplified expression with choice (B) 7b+6b7b + 6b.\newlineCalculation: 7b+6b=13b7b + 6b = 13b.
  4. Compare with choice (C): Step 44: Compare the simplified expression with choice (C) 2b+4b+6b2b + 4b + 6b. Calculation: 2b+4b+6b=12b2b + 4b + 6b = 12b.
  5. Compare with choice (D): Step 55: Compare the simplified expression with choice (D) b+12b + 12. Calculation: b+12b + 12 is not equivalent to 12b12b, as it lacks the bb term multiplied by 1212.

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