Is 4 (3m + 4) = 2 (6m + 8) a solution or no solution?

Answer: It is an infinite solution, so no solution.

Step by step explanation:

4 (3m+4) = 2 (6m+8)

First you have to distribute the 4 to 3m and 4 which would give you

12m+16=2 (6m+8)

Then you have to distribute the 2 to 6m and 8 which would then give you

12m+16=12m+16

That cannot be solved therefore it is a no solution (it can also be called an infinite solution because the same problem is on both sides of the equal sign)

Answer: both result in (12m + 16) so yes this is a solution