$12$vec$(F),$ a triangular distributed load and couple moments vec$(M{)}_1,$dots,vec$(M{)}_6$ are applied a rigid frame structure which has a fixed support at $A.$ Distributed load is in the negative $z$ direction and couple moments are parallel to one of the $x,y$ or $z$ axis. All members of the frame structure are rigidly connected and parallel to one of the $x,y$ or $z$ axis. Find the support reactions. $($Neglect the dimensions of the frame members$)$

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