Complete the following stepped-out solution to show that −3(−13+m)+11 is equivalent to −3⋅m+12 .(2 points)

Question

−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

Answer 1

−3(−13+m)+11 Apply the Distributive Property.
−3⋅(−13)−3⋅m+11 Simplify −3(−13) to get 39.
+39−3⋅m+11 Rewrite 39 as +39.
(39+11)−3⋅m Rearrange the terms.
50−3⋅m Simplify 39+11 to get 50.
−3⋅m+50 Rearrange the terms.
−3⋅m+12 Apply the Commutative Property of Addition and combine 50 with +11 to get +61.