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For these types of question, I know deflection equation is needed to find the reaction. However, my question is that when should i use the max. deflection equation and when should i use only simple deflection equation for my calculation ? Thank you very much!

I am calculating the all reaction forces in this beam. However, I want to ask: By taking moment about point B, why does the moment of the UDL become 15*7*5.5 instead of 15*7*4.5 Thanks !