Synonyms for Weigh (same or very similar meaning)
WordNet sense 1 (determine the weight of):
librateWordNet sense 2 (to be oppressive or burdensome):
pressWordNet sense 3 (have weight; have import, carry weight):
count, matterWordNet sense 4 (show consideration for; take into account):
considerFrom the ODE community, based on WordNetadd/edit