To simplify the expression \(9g - 7h - 6g + 2h\), we can combine like terms.
Starting with \(g\) terms:
- \(9g - 6g = 3g\)
Now, combining \(h\) terms:
- \(-7h + 2h = -5h\)
Putting it all together, we have: \[ 3g - 5h \]
Thus, the simplified expression is 3g − 5h.