Final answer:
Both expressions A and B result in negative values upon simplification, with A equating to -17 and B equating to -18. If only one expression needs to be selected as negative, clarification of the question may be needed due to the potential for typos.
Step-by-step explanation:
To determine which expression has a negative value, we should evaluate each expression. Here's how each expression simplifies:
- A. 7 + 3(-4) (2): This expression uses the distributive property. The term 3(-4) equals -12, and when multiplied by 2, it becomes -24. Adding this to 7 gives us 7 - 24, which simplifies to -17.
- B. -2[12 + (-3)]: Inside the brackets, 12 added to -3 simplifies to 9. Multiplying -2 by 9 gives us -18.
- C. (15 - 7) - (9 - 3): Simplifying inside the parentheses, we get 8 and 6. Subtracting these (8 - 6) equals 2, which is positive.
- D. -5[7 + (-14)]: Inside the brackets, 7 added to -14 simplifies to -7. Multiplying -5 by -7 results in 35, which is positive.
From these calculations, both options A and B have negative values. However, if we are to choose the one expression that has a negative value, we need to refer back to the question to know if there is any error or typo there because normally, such questions will have only one correct answer.