Expand the following expression.

3(m+2) + 4(6+m)

3(m+2) + 4(6+m)

3m + 6 + 24 + 4m

7m + 30

Thank you I missed a lesson in class today so I was a little lost.

Please check back later. I'm not sure that I followed the "expand" directions. If I'm wrong, I hope another tutor posts a correction.

To expand the expression 3(m+2) + 4(6+m), we need to distribute the numbers outside the parentheses to the terms inside them.

Let's start by expanding the first term, 3(m+2):

Step 1: Distribute 3 to m: 3 * m = 3m
Step 2: Distribute 3 to 2: 3 * 2 = 6

Now, let's expand the second term, 4(6+m):

Step 3: Distribute 4 to 6: 4 * 6 = 24
Step 4: Distribute 4 to m: 4 * m = 4m

Now, let's combine the expanded terms:

3(m+2) + 4(6+m) = 3m + 6 + 24 + 4m

Finally, let's simplify the expression by combining like terms:

Combine 3m and 4m: 3m + 4m = 7m
Combine 6 and 24: 6 + 24 = 30

Therefore, the expanded expression is 7m + 30.