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

Answer 1

To show that −3(−1/3+m)+11 is equivalent to −3⋅m+12, we can distribute the -3 to the terms inside the parentheses.

So, -3*(-1/3+m) + 11 becomes:

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

Since multiplying -3 by -1/3 gives us 1, and multiplying -3 by m gives us -3m, the expression simplifies to:

= 1 - 3m + 11

Combine like terms:

= 12 - 3m

Thus, we have shown that −3(−1/3+m)+11 is equivalent to −3⋅m+12.