swing the balance

:  to cause to move vigorously through a wide arc or circle

:  to cause to sway to and fro

:  to cause to turn on an axis

:  an act or instance of swinging :  swinging movement: such as

:  a stroke or blow delivered with a sweeping arm movement

:  a sweeping or rhythmic movement of the body or a bodily part

:  of or relating to musical swing

:  that may swing often decisively either way on an issue or in an election

:  an instrument for weighing: such as

:  a beam that is supported freely in the center and has two pans of equal weight suspended from its ends

:  a device that uses the elasticity of a spiral spring for measuring weight or force

:  to compute the difference between the debits and credits of (an account)

:  to pay the amount due on :  settle

:  to arrange so that one set of elements exactly equals another