The verb conciliate means to placate, appease, or pacify. If you are eating at a restaurant and the waiter accidentally spills a drink on you, the manager may try to conciliate you by picking up the tab for your meal.
You may be more familiar with the term conciliation ––it can mean the flowers you bring to conciliate your girlfriend after a fight, or a politician's conciliatory offer to fund a new playground to a community that's just lost its school. Conciliate comes from the Latin word conciliare, meaning "to unite." Conciliare in turn comes from the Latin word concilium, meaning "council." If you remember their common etymology, you can remember that, like council, conciliate is spelled with only one l.