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-4h+12-10\left(2h+2\right)=0
Use the distributive property to multiply -4 by h-3.
-4h+12-20h-20=0
Use the distributive property to multiply -10 by 2h+2.
-24h+12-20=0
Combine -4h and -20h to get -24h.
-24h-8=0
Subtract 20 from 12 to get -8.
-24h=8
Add 8 to both sides. Anything plus zero gives itself.
h=\frac{8}{-24}
Divide both sides by -24.
h=-\frac{1}{3}
Reduce the fraction \frac{8}{-24} to lowest terms by extracting and canceling out 8.