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−8+c+8−d can be rearranged using the Commutative Property of Addition as follows:
−8 + 8 + c − d
Next, we can use the Inverse Property of Addition to simplify -8 + 8 as 0:
0 + c − d
Since adding 0 to any number does not change its value, we can remove the 0:
c − d
Therefore, −8+c+8−d is equivalent to c−d.