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 %C2%A0 −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 follow these steps:

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

Step 2: Apply the Inverse Property of Multiplication.
According to the Inverse Property of Multiplication, any number multiplied by its reciprocal equals 1. So, −3⋅(−1/3) equals 1.

−3⋅(−1/3) simplifies to 1.

Step 3: Apply the Commutative Property of Addition and add.
1 + −3⋅m + 11 can be rearranged using the Commutative Property of Addition.

1 + 11 + −3⋅m simplifies to 12 + −3⋅m.

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

Answer 2

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Answer 3

I apologize for any confusion. Here are the answers:

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