In a group of people trying to agree on a decision, most people will try to argue on what suits them best. The conversation often runs in circles and people ends up being frustrated.
Try to think outside the box and suggest new ways of seeing the problem. Bringing a different point of view can unlock a situation quicker than arguing against like minded people.
Finding ways of thinking complementarily to the people you're talking to will open new perspectives. Use it to make your point.