A "simple majority" means having more than half of the votes or a majority vote. For example, if there are 10 people voting, a simple majority would be getting at least 6 votes in your favor. Full definition
But many parents find that they prefer to make decisions by consensus rather than by simple majority vote. (parentingsquad.com)
Certainly, the concern for teaching a respect for universal civil liberties is well placed, as democracy is defined as much by respect for minority rights as by simple majority rule. (educationnext.org)