TDEE accuracy?

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Since the TDEE calculator doesn't know exactly how many calories I burn how do I know if its a correct amount of calories to consume? I want to be able to eat enough to function and enjoy life, but still loose weight without it taking half a year since I only have about 10 pounds to loose.

My weight: 134
Goal weight: 125

My TDEE is 2,306 with heavy exercise 6-7 times a week. Minus 20% would be 1,844 I do some weight training, focusing on abs and arms and always burn from 500-700 calories on the elliptical daily.

This is the calculator I used: http://www.fat2fittools.com/tools/bmr/

Thanks in advance for your advice/input!