1. Remove the front door unit.
2. Remove the screws, then remove the front door latch and door lock actuator.

3. Install in the reverse order of removal.
Rear door unit removal/installation
Rear door latch and lock actuator removal/installationMazda 6 Service Manual: Rocking the Vehicle
WARNING
Do not spin the wheels at more than 56 km/h (35 mph), and do not allow
anyone to stand behind a wheel when pushing the vehicle: When the vehicle
is stuck, spinning the wheels at high speed is dangerous. The spinning tire could
overheat and explode. This could cause serious injuries.
...
Mazda 6 Service Manual: Technical data
ENGINE
LUBRICATION SYSTEM
Note
The maintenance intervals on scheduled maintenance table (See
SCHEDULED MAINTENANCE TABLE) can only be supported by the use of following
oils.
Recommended engine oil
COOLING SYSTEM
FUEL AND EMISSION CONTROL SYSTEMS
ENGINE ELECTRICAL SYSTEM
...