Explanation of an angular momentum term

[Levi Tate]

Hello, could somebody please explain to me why in 4 of these solutions, the angular momentum final term about point p is mVfR + Icmω ? It is in huge attached solutions my teacher posted.

Thank you very much in advance

Here is the problem in case you are interested of Horne context.

4. A solid ball of radius are initially slides without rotating on a horizontal surface with a variable coefficient of friction. If the initial speed is Vo, find the speed when the ball begins to roll without slipping. Also find the energy lost due to friction

 

[Levi Tate]

Upright, sorry about this, it looks upright when I upload it..

 

[Levi Tate]

Come on.. I know you smart cats know what this angular momentum term is all about. PLEASE I AM DESPERATE.

 

[Levi Tate]

Sorry my iPad edited this very poorly...4. A solid ball of radius R initially slides without rotating on a horizontal surface with a variable coefficient of friction. If the initial speed is Vo, find the speed when the ball begins to roll without slipping. Also find the energy lost due to friction

 

[Levi Tate]

I understand the angular momentum is conserved but I don't understand the final term in the angular momentum. I can't find out anything, it's bewildering me.