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I understand you're encountering Instant Ink enrollment prompts on your HP Officejet Pro 8710 Printer's front panel that are impeding regular functionality. I have a fix in mind that should help.
Please try the following: without shutting it down, unplug your printer for 1 minute. Then plug it back in and wait for it to start up. Once it prompts you to enroll in Instant Ink, choose 'Decline.' Or, scroll down to select 'More Options' and decline the offer from there. Let me know if that did the trick.
Please let me know the result of your troubleshooting by responding to this post. If I have helped you resolve the issue, feel free to say "You rock!" by clicking the 'Thumbs Up' icon below and clicking to accept this solution.
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E-roq I work on behalf of HP
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After searching the internet and not finding any good solutions, I started figuring it out for myself. I had to change the config file in the printer folder. It involves changing one line of code. Follow these seven steps and it will work for you too.
Open the C:\Program Files\HP\HP OfficeJet 4650 series\ folder (or your printer folder)
Find the “config” file and open it with note pad
Find this line of code: “OfferAutoContinue=Yes”
Change the yes to no: “OfferAutoContinue=No”
Save the new config file to your desk top
Drag and drop the config file from your desktop to C:\Program Files\HP\HP OfficeJet 4650 series\ folder (or your printer folder)
If you are asked if you want to replace the old file with the new file say yes.
You're done.... You may have to reboot your computer.