Assuage
/əˈsweɪdʒ/ verb mediumTo make an unpleasant feeling less intense, or to satisfy a need.
The manager's apology and refund helped assuage the customer's anger over the delayed shipment.
Memory Trick
Say it slowly as 'a-sway-age': a gentle, soothing sway, like rocking a crying baby, is exactly what assuages distress.