Complete the following stepped-out solution to show that −3(−13+m)+11

Question

is equivalent to −3⋅m+12

Answer 1

To show that −3(-13+m)+11 is equivalent to −3⋅m+12, we will simplify both expressions step by step:

First, we distribute -3 to the terms inside the parentheses:

-3*(-13) + -3*m + 11

Next, we simplify -3*(-13) which gives us:

39 + -3*m + 11

Now, we combine like terms by adding 39 and 11:

50 + -3*m

Finally, we can rewrite -3*m as -3m.

Therefore, −3(-13+m)+11 is indeed equivalent to −3⋅m+12.