Which property of algebra should first be applied to 6a−14b+3a−6+21b−18a

Question

in order to determine whether it is equivalent to −9a+7b−6
? (1 point)
Responses

Distributive Property
Distributive Property

Associative Property
Associative Property

Commutative Property
Commutative Property

Identity Property

Answer 1

To determine if the expression \( 6a - 14b + 3a - 6 + 21b - 18a \) is equivalent to \( -9a + 7b - 6 \), the first property of algebra that should be applied is the Commutative Property.

This property allows you to rearrange the terms in the expression to group like terms together, which is essential for combining terms to simplify the expression.

Therefore, the correct response is:

Commutative Property