Paper jams constantly, without fail.

Hello, this problem may be able to be fixed. You have started out correctly by looking inside for something out of place and cleaning the rubber rollers that "grip" the paper. Next thing would be to get a higher quality of paper (heavier weight) and see if that fixes the problem. Often times a slightly heavier stock paper will work. Some of the cheapest papers are more slipery and thin. This may not be the solution you are looking for, becuase you have to use more expensive paper, but I have found that on an older inkjet printer it will allow you to print. If this does solve your problem, then you know that its a paper grip problem and you can go in and take some course sandpaper to your rubber wheels to make them grab the paper better. If this doesn't work get a flashlight and look into the paper feed when it is trying to grab the paper to make sure the intake roller is turning correctly and try to manually feed it through there by pushing the top sheet through if possible. It has to be one thing or another and you just have to go through the process of elimination to see what is going wrong with the mechanical process of grabbing the paper and getting it to go through. Most printers have a manual load area where you can feed paper through. If you have that, you can verify that the paper feed channel is unblocked. Often a tiny piece of paper is lodged somewhere that stops a new sheet from making its way through.