What number must be added to the expression (-75) - (-20) so that the sum is is 56?

A) 151

B) - 151

C) - 111

D) 111

D) 111

Step-by-step explanation:

(-75) - (-20) + x = 56

A negative minus a negative means add

-75 + 20 + x = 56

-55 + x = 56

Add 55 to both sides

-55+55 + x = 56+55

x = 111

Two negatives make a positive.

-75 - (-20) = - 75 + 20

Do the math now:

-75 + 20 = - 55

Write down the final equation to get the answer, which is finding the difference between 56 and - 55:

Two negatives again ... they make a positive, so re-write the equation:

56 - (-55) = 56 + 55

Get the answer by solving:

56 + 55 = 111