a private commutative property of generate an expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12.
The private commutative property states that the order of addition does not affect the sum. Therefore, we can rearrange the terms in any order we prefer.
Let's group the terms with similar variables together:
(8 - 2 - 4 + 12) + (9f + 6f - 8f)
Simplifying the terms within the parentheses:
(24) + (7f)
The expression 8 + 9f - 2 + 6f - 8f - 4 + 12 is equivalent to 24 + 7f, using the private commutative property.