Complete the following stepped-out solution to show that −8+c+8−d

Question

is equivalent to c−d
.(1 point)
−8+c+8−d

−8+
+c−d
Commutative Property of Addition
+c−d
Inverse Property of Addition
c−d
Identity Property of Addition

Answer 1

To show that \(-8 + c + 8 - d\) is equivalent to \(c - d\), we can follow these steps:

1. Start with the original expression: \[ -8 + c + 8 - d \]

2. Group terms using the Commutative Property of Addition: \[ (-8 + 8) + c - d \]

3. Simplify using the Inverse Property of Addition (\(-8 + 8 = 0\)): \[ 0 + c - d \]

4. Apply the Identity Property of Addition (adding zero does not change the value): \[ c - d \]

Thus, we have shown that: \[ -8 + c + 8 - d \equiv c - d \]