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

Question

is equivalent to −3⋅m+12
.(2 points)

−3(−1/3+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 + -3 * m + 11 -Apply the Distributive Property.
39 + -3 * m + 11 -Multiply.
39 + (-3 * m) + 11 -Apply the Commutative Property of Addition.
39 - 3m + 11 -Rearrange the terms.
(-3 * m) + 39 + 11 -Apply the Commutative Property of Addition.
-3 * m + 50 -Add.
-3⋅m+50

Therefore, −3(−13+m)+11 is equivalent to −3⋅m+50.