My oldest daughter also had a "mind of her own", and she had a tendency to 'coach' her little sister to make matters worse! Her particular manipulation was whining. (somehow they know just which behavior you really can't stand)
I decided to apply "No means no" with a little humor WITHOUT BACKING DOWN. I taught them (at the age of three and one) that you get Nothing for Whining. And I would show them my hand folded up and then open it with nothing in it and say, "Here you go". Soon after, any time I heard whining as a manipulative response, we would immediately LEAVE the premises if it was public (where they hope you will be embarrassed into compliance) and I would say with a big smile, "What do you get for whining?" One of them would almost always answer. "Nothing". And they would get the empty hand. I have no idea why that worked, but we were done with whining in less than 6 months.
The key to the CONSEQUENCE THAT FOLLOWS BAD BEHAVIOR is that you must absolutely follow through. If you promise a spanking, then they should get a spanking. So try to decide AHEAD of time what you're willing to follow through with and then FOLLOW THROUGH no matter what.
You might also try a "Boy's Town" technique (these have been created to deal with the most difficult of misbehaving boys up to about age 12.) The first step is to say: Right now you are (describe their behavior) for example: Right now you are raising your voice to get such and such after I've said no. A better choice would be (describe the better way to behave and if possible to get what they want at a more appropriate time)
So the whole thing might be: "Right now you are raising your voice to get such and such after I've said no. A better choice would be to ask me WHEN can I have or do such and such. YOU determine what the acceptable redirected behavior is for the offense at that moment.
Finally, the pre-emptive strike. Minimize your daughter's opportunity to disagree with you by finding a way to say Yes. Even if you have to say, "Sure, honey, when you're 16." No is pretty hard to hear, and it would shock most adults to realize how often they actually hear it from adults.
Hope one or more of these is helpful!