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⋅
+(−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
and I want the right answers

Answer 1

−3(−1/3+m)+11

First, let's distribute the -3 to both terms inside the parentheses:
−3⋅(−1/3) + −3⋅m + 11

When we multiply a negative number by a negative fraction, the result is positive:
1 + −3⋅m + 11

Now, let's combine like terms. The 1 and 11 can be added:
12 + −3⋅m

Finally, let's rewrite the expression in standard form, with the constant term first:
−3⋅m + 12