Complex sentence: The resulting field equations provide both the equations of general relativity and of electrodynamics; the equations of motion provide the four-dimensional geodesic equation and the Lorentz force law, and one finds that electric charge is identified with motion in the fifth dimension.
Split into simpler sentences: The resulting field equations provide both the equations of general relativity and of electrodynamics; the equations of motion provide the 4-dimensional geodesic equation and the Lorentz force law. And one finds that electric charge is identified with motion in the fifth dimension.