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Which expressions are equivalent to 12(1/2x − 3) + 12(1/3y + 2) + 6?



Select all correct answers.



Responses



6(x+2/3y−1)

6x+4y−5

6x+4y−6

2(3x+2y−33)

2(3x+2y−3)

Verified Answer :

The answer provides the equivalent expressions: 6x + 4y - 6 and 2(3x + 2y - 3).

the process of obtaining these expressions.

Equivalent expressions to 12(1/2x - 3) + 12(1/3y + 2) + 6 are:

To find the equivalent expressions, distribute the constants and simplify the terms.

final ans for this expression

6x + 4y - 6

OR

2(3x + 2y - 3)

To determine which expressions are equivalent to 12(1/2x − 3) + 12(1/3y + 2) + 6, we can start by simplifying the given expression:

12(1/2x − 3) + 12(1/3y + 2) + 6

First, distribute the 12:

  1. 12(1/2)x − 12(3) + 12(1/3)y + 12(2) + 6
  2. Simplify inside the parentheses:
  3. 6x − 36 + 4y + 24 + 6

Add and combine like terms:

  1. 6x + 4y − 36 + 24 + 6
  2. 6x + 4y − 6

So, the simplified expression is 6x + 4y − 6. Let's check which of the given answers match this simplified form:

  • 6(x+2/3y−1) − Not equivalent
  • 6x+4y−5 − Not equivalent
  • 6x+4y−6 − Equivalent
  • 2(3x+2y−33) − Not equivalent
  • 2(3x+2y−3) − Not equivalent

Therefore, the correct answer is 6x + 4y − 6.

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