Backfire when cold

My 340 has recently been backfiring
Out the exhaust at slow speed when cold,
And running rough all the time.
Wound up being the brake booster leaking
Vacuum.
A rhythmic miss,once every other revolution,is typical when the vacuum line is plumbed to just one runner, as opposed to the plenum under the carb. I mean it's normal to route it that way, and it works fine as long as the diaphragm is good.