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To simplify \( 9g - 7h - 6g + 2h \), combine like terms:
1. Combine the \( g \) terms:
\( 9g - 6g = 3g \)
2. Combine the \( h \) terms:
\( -7h + 2h = -5h \)
Putting it all together, we have:
\( 3g - 5h \)
So the answer is \( 3g - 5h \).