Final answer:
To find the expressions that are equivalent to -427 + 84, we need to simplify each option and see if it gives us the same result. The expressions that are equivalent are -42z + 84 and 42z + 84.
Step-by-step explanation:
To find the expressions that are equivalent to -427 + 84, we need to simplify each option and see if it gives us the same result.
A. -3(-143 – 28) = 3(171) = 513
B. 3(-142 + 28) = 3(-114) = -342
C. -14(3z - 6) = -42z + 84
D. -14(-3z - 6) = 42z + 84
Comparing the results, we can see that options C and D are equivalent to -427 + 84.