Ok. 3 hour delay...
Here's how it works with one flasher. The hazard switch, like all of your other mechanical switches just routes voltage internal to the switch from wire to another (or multiple wires).
With only one flasher it needs to handle both hazards and turn signals, which is why there are 2 sources to the hazard switch. The constant hot will be used so hazards can be used with no key. The switched hot is used for the turns to only operate with the key.
One of these sources, depending on switch position, is routed from the input wire to the wire that goes out to the flasher. The output of the flasher comes back into the switch on another wire (now we've accounted for 4 of 9 wires). If the hazard switch is in the ON position, the flashing voltage goes out of the hazard switch on 4 wires to the front and rear lights so they all flash. Now we've accounted for 8 wires.
If the hazard switch is OFF, the flashing voltage from the flasher is NOT routed to the lights, but it goes out on the 9th wire to the turn signal switch.
Now it is the INPUT voltage that is already flashing to the turn switch. That switch then routes the voltage to left lights or right lights depending on switch position.
The brake switch is wired into the turn signal switch so that it can override and illuminate the rear brake lights no matter what other flashing situation you are in. Brakes have precedence.
It's actually a pretty clever set up.
Mine is factory with one flasher.
If you have two, we just need to understand your original wiring diagram.
Hope this helps.