To simplify the expression \( 5A - 8C + b + 3c - 9a + 6B \), we will combine like terms:
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Combine the \( A \) terms:
- \( 5A \)
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Combine the \( B \) terms:
- \( 6B \)
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Combine the \( C \) terms:
- \( -8C \)
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Combine the \( a \) terms:
- \( -9a \)
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Combine the \( b \) term:
- \( b \)
-
Combine the \( c \) term:
- \( 3c \)
Now, writing it all together, we have:
\[ 5A - 9a + 6B - 8C + b + 3c \]
This is the simplified expression. There are no further like terms to combine, so this is the final result:
\[ 5A - 9a + 6B - 8C + b + 3c \]