When a negatively charged rod touches a neutral metal sphere, the excess electrons from the negatively charged rod are repelled by the excess negative charges on the rod and will move to the neutral metal sphere. This transfer will occur until the two objects reach the same electric potential.
Given these considerations, the correct response is:
The excess electrons will move from the rod to the sphere and spread out.
This is because the electrons move from the negatively charged rod to the neutral sphere, causing the sphere to become negatively charged as the electrons distribute evenly across its surface.