'82 240D vacuum leak/break

[1goos4u]

Ok I finally decided to register on the forums here after reading quite a lot of troubleshooting techniques. I have a question about my vacuum system in my '82 240D. The car doesn't shut off when you turn the key off, which I've heard is a somewhat common problem. I had the vacuum pump checked as well as the fuel shutoff solenoid (I think that's what it's called) and they are in working order. I started following the vacuum lines checking for breaks, and found a vacuum line break just behind the battery. The other end is on the other side of the firewall. I am assuming this is what I need to mend. Is this most likely my problem (assuming no other vacuum line breaks), and how do I locate the other end of the vacuum line? Do I need to take out the entire dashboard area? Thanks for any suggestions/help in advance.