To simplify the expression \( 9g - 7h - 6g + 2h \), we combine like terms.
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Combine the \( g \) terms: \( 9g - 6g = 3g \)
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Combine the \( h \) terms: \( -7h + 2h = -5h \)
Putting it all together, we get: \[ 3g - 5h \]
So, the simplified expression is 3g - 5h.