document.write( "Question 232261: Thank you in advance for your help and your time. I have tried this and it does work out, but I cannot figure out why! Can you explain?\r
\n" ); document.write( "\n" ); document.write( "Think of a number.
\n" ); document.write( "Add 7.
\n" ); document.write( "Double the result.
\n" ); document.write( "Subtract 8.
\n" ); document.write( "Double the result.
\n" ); document.write( "Add 12.
\n" ); document.write( "Divide by 4.
\n" ); document.write( "Subtract 6.
\n" ); document.write( "Your answer will be the original number. Explain how this trick works.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #171691 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Think of a number.
\n" ); document.write( "Add 7.
\n" ); document.write( "Double the result.
\n" ); document.write( "Subtract 8.
\n" ); document.write( "Double the result.
\n" ); document.write( "Add 12.
\n" ); document.write( "Divide by 4.
\n" ); document.write( "Subtract 6.
\n" ); document.write( "Your answer will be the original number. Explain how this trick works.
\n" ); document.write( "--------
\n" ); document.write( "Steps in order:
\n" ); document.write( "n
\n" ); document.write( "n+7
\n" ); document.write( "2n+14
\n" ); document.write( "2n+6
\n" ); document.write( "4n+12
\n" ); document.write( "4n+24
\n" ); document.write( "n+6
\n" ); document.write( "n
\n" ); document.write( "
\n" ); document.write( "
\n" );