If events a, B and C satisfy a + C = B + C, is a = B true? Give an example

If events a, B and C satisfy a + C = B + C, is a = B true? Give an example

Not established
for example
Event a: roll the dice to get one of the odd numbers
Event B: roll the dice to get one of the even numbers
Event C: roll the dice to get one of 1-6
Obviously a + C = B + C, but a and B are not equal