go to this site:
http://www.thepoultrysite.com/publications/1/egg-quality-handbook/29/meat-spots/
meat spots usual occur in brown eggs more than other colors, and will also occur in older hens. If the hen has just started laying, the meat spots might go away by themselves. If it is repetitive or getting worse, maybe it has a vitamin imbalance. I usually go the natural way and use things like recycled egg shells for calcium, and ect. If it doesnt happen frequently, and is just a once in a while thing, it should go away to, till then, eating meat spots wont kill you

If you happen to have a vet near you that accepts chickens, you can always ask them for some extra advice.:cd