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

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

3 answers

−3(−1/3+m)+11
-3 * (-1/3) + (-3 * m) + 11 -Apply the Distributive Property.
1 + (-3 * m) + 11 -Simplify -3 * (-1/3) to 1.
1 - 3m + 11 -Apply the Inverse Property of Multiplication.
-3m + 12 -Apply the Commutative Property of Addition and add.
-3m + 12
can you answer the question marks in the equations
Sure, let's fill in the missing information:

−3(−1/3+m)+11
-3 * (-1/3) + (-3 * m) + 11 -Apply the Distributive Property.
1 + (-3 * m) + 11 -Simplify -3 * (-1/3) to 1.
1 - 3m + 11 -Apply the Inverse Property of Multiplication.
-3m + 12 -Apply the Commutative Property of Addition and add.
−3m + 12