Add the linear expression7(n-2)+5(n+4)+3(n+1)

7(n-2)+5(n+4)+3(n+1) simplifies to:

7n - 14 + 5n + 20 + 3n + 3

Combine like terms:

(7n + 5n + 3n) + (-14 + 20 + 3)

= 15n + 9