Can you lower the deficit by cutting taxes?

The only consistent message from the Republican party this year has been to cut taxes and lower the deficit, but is this even possible? It makes no sense to me. If you collect less money than you spend, then you are going to increase the deficit. They say that they will cut spending, but where? If they proposed to cut military spending, I would think they were actually being honest. However, they propose cutting programs that are in place to help those Americans less fortunate than others...this will never happen. They have the audacity to call people who need a helping hand from their fellow brothers and sisters of America "lazy" and not wanting to work. They sometimes call themselves the Christian party, yet they are the first to step on the poor. They call themselves the Christian party, but are more interested in building and expanding our use of weapons of mass murder than giving a fellow American and human being the ability to afford health care. Do you think it is possible to lower the deficit and cut taxes at the same time?

George Washington