Complete the following stepped-out solution to show that −3(−1/3+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
no
no
I apologize for the previous incorrect response. Let's go through the solution again:
-3(-1/3 + m) + 11
First, distribute the -3 to both terms inside the parentheses:
-3 * -1/3 + -3 * m + 11
Multiplying -3 by -1/3:
1/3 + -3m + 11
Next, combine like terms:
-3m + 1/3 + 11
To add 1/3 and 11, we need to find a common denominator, which is 3:
-3m + 1/3 + 33/3
Combine the fractions:
-3m + 34/3
This expression cannot be further simplified, so the final answer is:
-3m + 34/3
−3⋅?
+(−3⋅m)+11
Apply the Distributive Property.
To apply the Distributive Property, we need to multiply -3 to each term inside the parentheses:
-3 * (-1/3) + (-3 * m) + 11
This simplifies to:
1 + (-3m) + 11
Next, we can combine like terms:
-3m + 12
Therefore, after applying the Distributive Property, the expression is simplified to -3m + 12.
−3(−13+m)+11
= −3⋅(−13) −3⋅m + 11
= 39 − 3m + 11
= 50 − 3m
Apologies for the mistake. Let's start from the beginning:
−3(−1/3+m)+11
First, distribute the -3 to both terms inside the parentheses:
-3 * -1/3 + -3 * m + 11
Multiplying -3 by -1/3 gives:
1 + -3m + 11
Combine like terms:
12 - 3m
Therefore, −3(−1/3+m)+11 is equivalent to −3m + 12.