Solution of task 2.4.34 from the collection of Kepe OE

Solution of task 2.4.34 from the collection of Kepe OE

2.4.34
A pair of forces with a moment M = 200 N · m, a distributed load of intensity q = 20 N / m and force F are applied to the beam AD.
What should this force be, so that the moment in the seal A is equal to 650 N · m, if the dimensions of AB = BC = CD = 2 m? (Answer 144)