Final answer:
John Hancock and other colonists did not want to pay taxes to a king in England because of the lack of representation in Parliament and other grievances like the Quartering Act, leading to increasing resistance and insurrections against British rule.
Step-by-step explanation:
John Hancock and other American colonists did not want to pay taxes to the King who was thousands of miles away in England. This resistance was part of broader colonial discontent with British rule, including grievances like the Quartering Act which required colonists to house and feed British soldiers, an expense and intrusion which united Americans across social classes in opposition. The colonists' refusal to pay such taxes was rooted in their belief in the principle of 'no taxation without representation', as they did not have direct representation in the British Parliament that was enacting these taxes. Their demands for more autonomy and fair treatment were a contributing factor leading to insurrections such as Shays' Rebellion and ultimately, the American Revolution.