Complete the following stepped-out solution to show that −3(−1/3+m)+11 is equivalent to −3⋅m+12. −3⋅__+(−3⋅m)+11: Apply the Distributive Property.

Answer 1

-3⋅(-1/3+m) + 11

First, let's distribute -3 to both terms inside the parentheses.

= (-3)(-1/3) + (-3)(m) + 11

When we multiply -3 by -1/3, we get 1.

= 1 + (-3)(m) + 11

Multiplying -3 by m gives us -3m.

= 1 - 3m + 11

Finally, combine like terms.

= -3m + 12

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