Add the linear expressions 7(n-2)+5(n+4)+3(n+1)

To add these linear expressions, we can distribute and combine like terms.

First, let's distribute:
7(n-2) = 7n - 14
5(n+4) = 5n + 20
3(n+1) = 3n + 3

Now, we can combine like terms:
(7n - 14) + (5n + 20) + (3n + 3)
= 7n + 5n + 3n - 14 + 20 + 3
= 15n + 9

Therefore, the sum of the linear expressions 7(n-2) + 5(n+4) + 3(n+1) is 15n + 9.