Usually the slime is a sign of another problem in the tank. Generally it is a natural occurrence due to high levels of nutrients in the tank. Sometimes this is due to low flow in areas, which allow nutrients to settle and feed the cyano/algae. Other times it is due to bio-load issues, which means you may want to bump up water changes. Another partial remedy could be the use of beneficial macroalgae such as chaetomorpha to do the job of nutrient export. Many times it is nitrates being high that cause this problem in tanks. You will want to test that level. If you have bio-ball filtration, that could also be a part of the problem. The bioballs support the nitrogen cycle in the tank, breaking ammonia down to nitrates with the bacteria that accumulates in the balls. Many people eventually remove these because the anaerobic bacteria in the live rock is argued to be much more beneficial. They also refer to the ball's as "nitrate traps". You can also siphon the slime out with some hard line tubing and flexible airline tubing, but this is not a solution, just a patch. Another solution could be the addition of a couple more cleaning crew members. The last part i can think of is shorter light period in the display tank. This prohibits rapid growth from photosynthesis.
These aren't all the solutions, but a start and some ideas regarding the issue. I have researched greatly before on this subject, mainly because I had an outbreak of redslime not too long ago. I used a combination of several of these solutions in my tank to solve it. The most helpful were water changes, macroalgae in a refugium, and shorter light period.
Oh yeah, first post on this forum. I usually just read.