To resolve the Brother printer offline issue, follow these steps: 1) Check physical connections and restart the printer and computer. 2) Verify network connectivity and ensure other devices on the network are functioning. 3) Update printer drivers by downloading the latest versions from the Brother website. 4) Clear the print queue by accessing the printer settings and canceling any pending print jobs. 5) Temporarily disable the firewall or antivirus software that may be blocking the printer's communication. 6) Reset network settings if the printer is connected wirelessly. If the problem persists, contacting Brother's customer support can provide further assistance.