Question

Simplify 12w + 3z + 6w. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary.
12w + 3z + 6w
= 3z + 12w + 6w Associative Property
= (3z + 12w) + 6w Commutative Property
= 15z + 6w Add the Coefficients
12w + 3z + 6w
= 12w + 6w + 3z Commutative Property
= (12w + 6w) + 3z Associative Property
= 18w + 3z Add the Coefficients
12w + 3z + 6w
= 3z + 12w + 6w Commutative Property
= (3z + 12w) + 6w Associative Property
= 15z + 6w Add the Coefficients
12w + 3z + 6w
= 12w + 6w + 3z Associative Property
= (12w + 6w) + 3z Commutative Property
= 18w + 3z Add the Coefficients