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...I have no way of knowing if it is the ballance or the wheels since they are different wheels on the two cars...
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How are they different? Swapping from one car to the other (and driving the same road/speed etc) is the easiest way to ID whether a vibration is the car or the tires.
Pretty common (in my experience) that they do not always do a good job of balancing even disc wheels. Just took a set back for a do-over and they reported an alarming amount of weight they had to change. Have also had them forget to remove the old weight, break off the bottom of the valve and leave it rattling around in the new tire and put the weights on so poorly that they fall off.