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

Question

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

−3⋅
-1/3+(−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

The completed solution is:
−3(−1/3+m)+11
= -3 * -1/3 + (-3 * m) + 11
= 1 + (-3m) + 11
= -3m + 12

Answer 2

what do you mean can you explian it more clearly for me plz

Answer 3

Apologies for the confusion. Here's a clearer explanation of the steps:

Given expression: −3(−1/3+m)+11

Step 1: Apply the Distributive Property:
The Distributive Property states that any number can be multiplied to each term inside parentheses. In this case, we need to multiply -3 to both -1/3 and m:
−3 * -1/3 + (-3 * m) + 11

Step 2: Simplify the multiplication:
When we multiply -3 with -1/3, the sign of the product changes to positive and we get 1:
1 + (-3 * m) + 11

Step 3: Simplify the multiplication further:
When we multiply -3 with m, we get -3m:
1 + (-3m) + 11

Step 4: Simplify the addition:
The terms 1 and 11 can be added straightforwardly. Also, since (-3m) and (-3 * m) represent the same value, we can combine them:
-3m + 12

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