Complete the following stepped-out solution to show that −3(−13+m)+11

Question

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

Answer 1

−3(−13+m)+11
= −3⋅(−13+m)+11 Apply the Distributive Property.
= −3⋅(−13) −3⋅m + 11 Distribute -3.
= 39 -3m + 11 Simplify -3⋅(−13) to 39.
= -3m + 50 Combine 39 and 11.
= −3⋅m + 12 Rearrange the terms and simplify.