Complete the following stepped-out solution to show that −3(−1/3+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(−1/3+m)+11 Start with the given expression.
−3⋅(−1/3)−3⋅m+11 Distribute the -3 to -1/3 and m.
1+m−3⋅m+11 Simplify -3⋅(−1/3) to 1.
1−3⋅m+m+11 Rearrange the terms.
-2⋅m+12 Simplify 1+m to m and 11+1 to 12.
Therefore, the expression −3(−1/3+m)+11 is equivalent to −3⋅m+12.