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it has 2 = point loads (W/2) at equal distances (0.4m) along the beam

i have been asked to derive from first principles the expression for the mid span defelction.

I have got so far m= W/2x - W/2(x-L3) - W/2(x-L/6)

and i think the answer I'm looking for is something like

__23WL 3__/ 1296EI

can anyone help!