Which property of algebra should first be applied to 6a−14b+3a−6+21b−18a in order to determine whether it is equivalent to −9a+7b−6? (1 point)%0D%0AResponses%0D%0A%0D%0AIdentity Property%0D%0AIdentity Property%0D%0A%0D%0ACommutative Property%0D%0ACommutative Property%0D%0A%0D%0ADistributive Property%0D%0ADistributive Property%0D%0A%0D%0AAssociative Property
To determine if the expression 6a−14b+3a−6+21b−18a is equivalent to −9a+7b−6, we should first apply the **Associative Property** of algebra. The Associative Property allows us to add or multiply regardless of how the numbers are grouped. By applying this property, we can group like terms together and simplify the expression.
The expression simplified by grouping like terms would look like this:
(6a + 3a - 18a) + (-14b + 21b) + (-6)
After applying the Associative Property, we can then combine like terms. The Identity Property doesn't require an explicit step in this case, the Commutative Property would allow us to reorder the terms but isn't necessary to do first, and the Distributive Property isn't applicable in this situation as there's no multiplication across a sum or difference at this stage.