Silicon dioxide (SiO2) reacts with bromine trifluoride (BrF3) to give silicon tetrafluoride (SiF4), elemental bromine (Br2), and elemental oxygen (O2). When the equation, shown below, is properly balanced, what is the sum of all of the coefficients in the equation?
SiO2 + BrF3 -> Br2 + SiF4 + O2