Explain why the output work for any machine can't be greater than the input work.

Work is energy.  Energy can't be created or destroyed.  Wherever you see
energy appearing, it must have come from somewhere.  If you see 10 units
of energy go INto a machine and 11 units of energy come out, then 1 unit
must have been created inside the machine.  But that's not possible.

You get 6 for mechanical