First she loosens the nuts holding the flat front wheel on.
You can actually fix a flat without removing the wheel, but it usually isn't easier that way.
Step 1: Disconnect the Brake Cable
The brake calipers are too close together to get the wheel out.
She pulls the end of the brake cable out of the opposing bracket thingy so the calipers can pop apart, letting the wheel out.
Every type of brakes has a different way of doing this.
Step 2: Plastic "Tire Irons"
Now there's enough tire over the rim that it's easy to pull the rest over by hand.
Spoon handles work if they're smooth and you don't have official tire irons handy.
If you use screwdrivers it's very easy to puncture the innertube.
Remove the innertube from the tire.
You don't have to pull the tire all the way off the rim to do this.
Step 3: Feel for Nails
Step 4: Inflate the Innertube
This air chuck is nice because it has a built-in pressure guage.