Complete the following stepped-out solution to show that −3(−13+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
To complete the solution, we need to simplify the expression −3(−1/3+m)+11 step by step:
First, we use the distributive property to distribute the -3 to both terms inside the parentheses:
−3⋅(-1/3) + (-3)⋅m + 11
This simplifies to:
1 + (-3)⋅m + 11
Next, we multiply -3 by m:
-3⋅m + 1 + 11
Simplifying further, we combine like terms:
-3⋅m + 12
Therefore, −3(−1/3+m)+11 is equivalent to −3⋅m+12.