Final answer:
The expression 23 - 27 - 16 + 32 is not equivalent to the original expression.
Step-by-step explanation:
To determine which of the given expressions is not equivalent to 23 + (-27) - 16 - (-23), we need to simplify each expression and compare the result to the original expression.
Let's start by simplifying the original expression:
- 23 + (-27) = -4
- -4 - 16 = -20
- -20 - (-23) = 3
Now, let's simplify each of the given expressions:
- 23 + (-27) + (-16) + (-32) = -52
- 23 - 27 - 16 + 32 = 12
- 23 - 27 - 16 - (-19) = 29
- 23 + (-27) + 16 + 32 = 44
Comparing the simplified expressions to the original expression, we can see that 23 - 27 - 16 + 32 is not equivalent to the original expression.