phrasal
or tip the scale
1. : to register weight on a scale or balance
tips the scales at 210 pounds — Current Biography
2. : to shift the balance of fortune, influence, or power
a blind world in which building and destroying successively tip the scale — W.L.Sperry
Americans … tipped the scales decisively in two world wars — A.E.Stevenson †1965
adding small gifts to tip the scales in my favor — Claudia Cassidy