If you would like to simplify a - {4b - [a - (5b - c) + 3c - (a - b - 9c)]}, you can do this using the following steps:
a - {4b - [a - (5b - c) + 3c - (a - b - 9c)]} =Â a - {4b - [a - 5b + c + 3c - a + b + 9c]} = a - {4b - [- 4b + 13c]} =Â a - {4b + 4b - 13c} =Â a - {8b - 13c} = a - 8b + 13c
The correct result would be b)Â a - 8b + 13c.