Let x be the number of over time hours.

The working equation is:

8 (40) + 12 (x) = 380 Simplify 8 (40).

320 + 12x = 380 Move 320 to the other side to combine

12x = 380 - 320 similar terms then simplify.

12x = 60 Divide both sides by 12..

x = 5 hours

Therefore, she needs 5 hours more to achieve her goal.