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

By simplifying each expression separately, we have:

7(n-2) = 7n - 14
5(n+4) = 5n + 20
3(n+1) = 3n + 3

Adding them together:

(7n - 14) + (5n + 20) + (3n + 3)
= 7n + 5n + 3n - 14 + 20 + 3
= 15n + 9

Therefore, the simplified expression is 15n + 9.