add (2m-3) + (3n-1) + (3m+1)

To add the given expressions, follow these steps:

Step 1: Group the like terms together.
In the expression (2m-3) + (3n-1) + (3m+1), we have the following like terms:
2m and 3m (both are terms with 'm')
-3 and 1 (both are constant terms)
3n (has only 'n')

Step 2: Add the like terms together.
Let's add the terms with 'm' first. The terms are 2m and 3m:
2m + 3m = (2 + 3)m = 5m

Now, let's add the constant terms -3 and 1:
-3 + 1 = -2

Finally, we have the term 3n, which cannot be combined with any other term since it has a different variable.

So, the sum of the given expression is:
5m - 2 + 3n