I am a little confused also. Sticky weights are 7g each. 9 weights would be 63g, so you need to clarify some things here. 63g would be excessive. Generally more than 50-55g is too much. I once mounted a rear Avon that took 55g to balance. They said they would replace it, but I had no issues while riding so rode that tire with no problems for its entire life.
Avon does NOT mark the heavy or light spot on their tires. Bummer I know. But......if you were going to align the light spot of your tire with the valve stem, then you would have been incorrect anyways. Valve stem is NOT the heavy spot of the wheel. If you are balancing your own tires, you should determine on your own what the heavy spot of your wheel is by balancing it only. Your wheel can be out of balance by a significant amount!!!
For example, here is my rear:
Here's what I do: I balance the wheel only with weights applied temporarily with double sided tape. Now mount tire. So now with the wheel balanced, it is easy to find the actual heavy spot of the tire. I now break the bead, and rotate the tire so that the heavy spots of the tire and wheel are opposite. Take off the temporary weights and to a final balance. The last Avon front I balanced using the method only took 13g to balance.