Thank you for this, it worked but I had problems.
Twice I ran the Check Update files, with all files reporting 'GOOD'. After selecting 'A' the software then returned me to the Homebrew Launcher screen and upon re-entering SafeSysUpdater and selecting to downgrade (Y) the N3DS would freeze shortly after, first time at 7 and second time at 8. In both occasions there was around 6 white dots running up along the left hand side of the top screen. To resolve the problem I rebooted the device, entered Homebrew Launcher, then in SafeSysUpdater I did not run the option to check the files (A) I just ran the downgrade (Y) and it worked fine.
New 3DS with Firmware 9.8.0.25-E (now at 9.2.0.20-E), SafeSysUpdater 1.0, Homebrew Launcher 1.1.1, used BrowserHax.
Thanks again.