Final answer:
The property represented by the equation 8a+4=4+8a is the commutative property of addition.
Step-by-step explanation:
The property that is represented by the equation 8a+4=4+8a is the commutative property of addition. This property states that the order in which numbers are added does not affect the result. In other words, when adding two numbers, it does not matter which number comes first, the sum will be the same.
For example, if we have the addition expression 2 + 3, the sum is 5. But if we swap the order and write it as 3 + 2, the sum is still 5.
Similarly, in the given equation, the left side and the right side are equal because the 8a and the 8a terms can be rearranged without changing the result.