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