Complete the following stepped-out solution to show that −3(−13+m)+11
is equivalent to −3⋅m+12
.(2 points)
−3(−13+m)+11
−3⋅
+(−3⋅m)+11
Apply the Distributive Property.
+(−3⋅m)+11
Apply the Inverse Property of Multiplication.
−3⋅m+
+11
Apply the Commutative Property of Addition and add.
−3⋅m+12
−3(−13+m)+11
Apply the Distributive Property:
−3⋅(−13) + −3⋅m + 11
Apply the Inverse Property of Multiplication:
39 + −3⋅m + 11
Combine like terms:
39 + 11 + −3⋅m
Simplify:
50 + −3⋅m
Apply the Commutative Property of Multiplication:
−3⋅m + 50
Apply the Commutative Property of Addition and add:
−3⋅m + 12