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