Spray the can of compressed air into the vents on the body of the Dremel. Spray the air into the vents nearest the bit attachment, pushing any sawdust and dirt out of the rear vents. This is the normal direction of airflow through the tool. You should be able to force any accumulated material out through the exhaust vents.
Test the tool again by plugging into the outlet. If it still isn't working, carefully unscrew the two caps on the side, applying continual pressure to the body as you do so. There is a spring behind each cap that will force them off, sending the tiny springs flying across your workspace.
Remove the caps gently and carefully lift out the springs. The motor brushes will be attached to the end of each one. Detach the motor brushes from the end of the springs and discard them. Attach the new brushes to the springs and push them into the ports on the body of the Dremel. Tighten the caps and test it again. If this fails to resolve the problem, you can move on to the next step, but only if your tool is out of its warranty period,
Use the Torx driver to remove the four No.15 screws on either side of the body. Unscrew the locking ring at the end of the case. Separate the two halves and carefully clean the remaining carbon deposits from the motor and inside of the case. The bushes are the only replaceable part of the motor, but you can check the connections to the motor and ensure everything is firmly connected. Use the compressed air canister to blow dirt or carbon out of the motor case.