Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $7$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
(n - 3) + (n - 2) + (n -1) + n + (n + 1) + (n + 2) + (n + 3) = 7(n + 3)
7n = 7(n + 3)
7n = 7n + 21
No solution
+1443 
