To simplify the expression \( 9g - 7h - 6g + 2h \), we can 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 have: \[ 3g - 5h \]
Thus, the simplified expression is 3g − 5h.