  This article presents a systematic way to solve for the Affine Connection in
Metric-Affine Geometry. We start by adding to the Einstein-Hilbert action, a
general action that is linear in the connection and its partial derivatives and
respects projective invariance. We then generalize the result for Metric-Affine
f(R) Theories. Finally, we generalize even further and add an action (to the
Einstein-Hilbert) that has an arbitrary dependence on the connection and its
partial derivatives. We wrap up our results as three consecutive Theorems. We
then apply our Theorems to some simple examples in order to illustrate how the
procedure works and also discuss the cases of dynamical/non-dynamical
connections.
