Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is euqal to 15 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
n ==the smallest number
n + 6 ==the largest number
[n + (n + 1) + (n + 2) + (n + 3) + (n + 4) + (n + 5) + (n + 6) ] ==15 * (n + 6)
7n + 21 ==15n + 90
7n - 15n ==90 - 21
- 8n ==69
n == 69 / - 8
n == - 8.625
