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Which of the following is equal to 4(-3a + 6b)?

  1. -12a + 24b

  2. -12a - 24b

  3. 12a + 24b

  4. 12a - 24b

The correct answer is: -12a + 24b

To solve this equation, we can distribute the 4 to each term inside the parentheses to get -12a + 24b. Therefore, option A is the correct choice. Option B is incorrect because when we distribute the 4, the -24b would become a positive 24b. Option C is incorrect because when we distribute the 4, the 12a would become a negative 12a. Option D is incorrect because when we distribute the 4, both terms would become positive rather than one positive and one negative, as shown in the correct answer, option A.