To simplify the expression \(5a - 8c + b + 3c - 9a + 6b\), we can combine like terms.
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Group the terms:
- For \(a\): \(5a - 9a\)
- For \(b\): \(b + 6b\)
- For \(c\): \(-8c + 3c\)
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Combine the coefficients:
- \(5a - 9a = -4a\)
- \(b + 6b = 7b\)
- \(-8c + 3c = -5c\)
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Put it all together: \[ -4a + 7b - 5c \]
So the simplified expression is \(-4a + 7b - 5c\).