Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244

n, n + 1, n + 2 - three consecutive integers

(n + 2) + 5n = -244

n + 2 + 5n = -244

6n + 2 = -244    |subtract 2 from both sides

6n = -246     |divide both sides by 6

n = -41

n + 1 = -41 + 1 = -40

n + 2 = -41 + 2 = -39

-41, -40, -39.