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

Answer 1

−3(−13+m)+11: Apply the Distributive Property.

= −3⋅(−13) + −3⋅m + 11

= 39 + −3⋅m + 11

−3⋅m+__+11: Apply the Commutative Property of Addition and add.

= −3⋅m + 39 + 11

= −3⋅m + 50

−3⋅m+50: Apply the Inverse Property of Multiplication.

= −3⋅m + 12

Therefore, −3(−13+m)+11 is equivalent to −3⋅m+12.