Question

Complete the following stepped-out solution to show that −3(−1/3+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

Answer 1

To show that −3(−1/3+m)+11 is equivalent to −3⋅m+12, we need to simplify the expression step by step using the given properties.

Step 1: Apply the Distributive Property.
−3(−1/3+m)+11 = −3⋅(−1/3) + −3⋅m + 11

Step 2: Apply the Inverse Property of Multiplication.
−3⋅(−1/3) = 1

Step 3: Apply the Commutative Property of Addition and add.
1 + −3⋅m + 11 = −3⋅m + 12

Therefore, −3(−1/3+m)+11 is equivalent to −3⋅m+12.