If the issue behind Brother Printer offline is the un-updated firmware version in your Brother Printer, you can update it from the Download section of the official website of the Brother Printer. The steps of updating the firmware through the MacBook are different and through a computer is a bit different. Make sure you know all the steps of updating the firmware in your Brother Printer Machine with whatever device you are performing the update process. You can also check the Manual section of your Printer Machine through the support website of your Brother Printer to correctly perform the firmware update steps.
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