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Question

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

To show that −3(−13+m)+11 is equivalent to −3⋅m+12, we'll follow the given steps:

1. Apply the Distributive Property:
-3(−13+m) + 11 = -3 * -13 + (-3 * m) + 11

2. Apply the Inverse Property of Multiplication:
-3 * -13 + (-3 * m) + 11 = 39 + (-3 * m) + 11

3. Apply the Commutative Property of Addition and add:
39 + (-3 * m) + 11 = (-3 * m) + 39 + 11

4. Simplify:
(-3 * m) + 39 + 11 = -3 * m + 50

Therefore, −3(−13+m)+11 is equivalent to −3⋅m+12.