The phrase "much deliberation" means that a lot of careful thought and discussion has taken place on a particular topic before making a decision or taking action. Full definition
After much deliberation on issues that led to the industrial dispute, the leader of the State Government delegation, elder Simon Achuba appealed to the labour leaders to call off their over six - weeks old industrial strike, which has paralysed government activities and has become a great concern to stakeholders in the state. (dailypost.ng)
After much deliberation on going to repair shop, I figured I would at least poke around as it could not make anything worse. (mechanics.stackexchange.com)
Whatever we shop for, it is done with much deliberation and care, choosing the ideal product which meets our requirements and comes at a competitive price. (policybazaar.com)