Governor assembly should look like this (without the speed spring).
g16.jpeg
I've snapped a couple of cables myself. Mostly due to being old and not properly lubed at regular intervals. I did run across something one time with a G9 I had. The area under the pedal where the cable actually lays was a little crooked and causing the cable to rub and wearout. I simply took a small pry bar and bent it back into place. Just something I would mention.
More than likely the cable was old. You might want to make sure there is not too much tention, or it being in a bind, or even improperly adjusted.