MathWizard likes to play a fun number trick on her friends. She tells them to think of a number. She then tells them to subtract their number from 2 and multiply the result by 5. To this product she tells them to add half the difference when 24 is subtracted from 12 times their original number.
If you correctly apply MathWizard's steps to your favorite number, and then tell MathWizard your result, how can MathWizard quickly figure out what number you started with?