Determine the magnitude and direction θ of force F and its placement d on the beam so

Question:

Determine the magnitude and direction θ of force F and its placement d on the beam so that the loading system is equivalent to a resultant force FR acting vertically downward at point A and a clockwise couple moment M.
Units Used:
kN = 103 N

Given:
F1 = 5kN a = 3 m
F2 = 3kN b = 4 m
FR = 10kN c = 6 m
M = 45kN ∙ m e = 7
f = 24