The gear turns slowly every time the cartridge is used. When it gets to the end of its range, a spring stops it from turning further and the printer will not print until the cartridge is replaced. When a cartridge is refilled, this flag gear must be reset or printer will think the cartridge is still empty and it will not work. You can also squeeze some extra life out of a used cartridge using this method.
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1) Open the front door - the message ’Cover is Open’ will appear.
2) Press and hold the cancel button.
3) Press the Reprint button - the message ’Reset Parts Life’ should appear.
4) Then do the following:
B.TNR-H - accepted should display. Press ^
B.TNR-S - accepted should display. Press ^
Y.TNR-H - accepted should display. Press ^
Y.TNR-S - accepted should display. Press ^
M.TNR-H - accepted should display. Press ^
M.TNR-S - accepted should display.
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  Here’s the page count reset I’m using if anyone wants it:
1. Open the front cover and leave open while completing the following steps.
2. Turn the printer off.
3. Hold the ’go’ button while turning the printer on. All panel lights should be on.
4. Release the ’go’ button.
5. Press the ’go’ button 2 times.
6. Pause.
7. Press the ’go’ button 5 times.
8. The toner light should be off.
9. The paper light should be on or flashing.
10. Close cover. The ready light should be the only light on.
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Brother 7820n  toner cartridge low toner override
1. Open front cover
2. Press Start
3. push buttons 1 and 0 (for 10)
4. It says Accepted.
5. The printer printed beautifully afterward.
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rother MFC 9440CN Toner Life End Message
Reading further, I became convinced that a reset process similar to that used to solve this problem for the Brother 2040 and 7420 models was also required here.With nothing more to go on than responses to my emails from the good people (knuckleheads) at Brother telling me only how to install a new cartridge, I began poking around on my own
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