New Direct Equation for Support Moment of Two spans Continuous Structural element (my own derivation)

I managed to derive Direct Equation for Support Moment of Two spans Continuous Structural element as shown below:

 I manage to derive this new Direct equation which Calculated exactly the interior support moment for Uniformly and linearly distributed loading and concentrated loads as shown and illustrated, you are welcome to give your comment, this material is prohibited  to be published anywhere else.