The Commutative Property of Addition states that changing the order of the addends does not change the sum. The correct demonstration of the Commutative Property of Addition from the given options is:
\( 5z^{9} + 8a = 8a + 5z^{9} \)
This equation shows that the order of addition can be switched without affecting the result. Therefore, the correct answer is:
\[ 5z^{9}+8a=8a+5z^{9} \]