-8 plus blank plus c - d in communtative property of addition

the answer is not -8 plus 2y plus c - d

complete the following stepped out solution to show -8 plus c plus 8 - d is equivalent to c -d

1 answer

To show that -8 plus c plus 8 minus d is equivalent to c minus d using the commutative property of addition, we can rearrange the terms and group them differently.

Step 1: Rearrange the terms using the commutative property.
-8 plus c plus 8 minus d

Step 2: Group like terms together.
(-8 plus 8) plus (c minus d)

Step 3: Simplify the expression within each group.
0 plus (c minus d)

Step 4: Simplify the expression.
c minus d

Therefore, -8 plus c plus 8 minus d is equivalent to c minus d using the commutative property of addition.