To simplify the expression \(5a - 8c + b + 3c - 9a + 6b\), we can combine the like terms:
- For \(a\): \(5a - 9a = -4a\)
- For \(c\): \(-8c + 3c = -5c\)
- For \(b\): \(b + 6b = 7b\)
Putting it all together, the simplified expression is:
\(-4a + 7b - 5c\)