Question

Which of the following equations is equivalent to −4(3d−2)−7?

A) −12d−15

B) 12d−15

C) None of the above

Answer 1

After distributing the -4 and simplifying the expression −4(3d−2)−7, the result is −12d+1, which does not match any of the provided options. Therefore, the correct answer is 'None of the above'.

Step-by-step explanation:

The equation −4(3d−2)−7 can be simplified by first distributing the −4 across the parentheses, which yields −4 × 3d + −4 × (−2) and then simplifying to get −12d + 8.

When you subtract 7 from 8, you get 1, so combining these gives −12d + 1.

However, this is not an option among the choices provided, so the correct answer is C) None of the above.