Compensate (verb)

1. To give something to make up for a loss or disadvantage.
2. To make up for something with something else.

Origin:

From the latin word "compensare" meaning "to weigh together" or "to balance".

Examples:

1. He compensated her for the loss of her property.
2. The company compensated its employees for the overtime work.
3. The insurance company compensated him for the damage to his car.
4. His high salary compensates for the long hours he works.
5. The company offered to compensate the customers for the inconvenience caused.