Final answer:
The equivalent expression for (-2)(a+6) is found by using the distributive property, resulting in the correct answer C) -2a - 12.
Step-by-step explanation:
The student asked which expression is equivalent to (-2)(a+6). To find the equivalent expression, we need to use the distributive property, which states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. In this case, we'll multiply -2 by a and then -2 by 6.
- Multiplying -2 by a gives us -2a.
- Multiplying -2 by 6 gives us -12.
Combining these, the expression (-2)(a+6) becomes -2a - 12, meaning the correct answer is C) -2a - 12.