Question
–3m + 3(m + 6)
(1 point)
Responses
6
6
–6m + 6
–6 m + 6
6m + 18
6 m + 18
18
The correct response is -3m + 3(m + 6) = 6m + 18.
To simplify the expression -3m + 3(m + 6), we need to apply the distributive property.
Distributing the 3 to both terms inside the parentheses, we get:
-3m + 3m + 18
Since the -3m and +3m combine to give 0, we are left with:
0 + 18
Finally, simplifying further, we have:
18
To simplify the expression -3m + 3(m + 6), we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we need to simplify the expression inside the parentheses (m + 6). We can distribute the 3 to both the m and the 6 within the parentheses. Distributing means multiplying each term inside the parentheses by the number outside the parentheses.
So, 3(m + 6) becomes 3 * m + 3 * 6 = 3m + 18.
Now, we have -3m + 3m + 18.
The terms -3m and +3m cancel each other out since they have the same coefficient but with opposite signs. So, the simplified expression is 18.
Therefore, the correct answer is 18.