Complete the following stepped-out solution to show that −3(−1/3+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(m−1)+11
Apply the Distributive Property.

−3⋅m−(−3)+11
Simplify and distribute the negative sign.

−3⋅m+3+11
Simplify and combine like terms.

−3⋅m+14
The expression −3(−1/3+m)+11 is equivalent to −3⋅m+14.