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3h=7\times \frac{2}{7}+7\left(-\frac{3}{7}\right)h-10
Use the distributive property to multiply 7 by \frac{2}{7}-\frac{3}{7}h.
3h=2+7\left(-\frac{3}{7}\right)h-10
Cancel out 7 and 7.
3h=2-3h-10
Cancel out 7 and 7.
3h=-8-3h
Subtract 10 from 2 to get -8.
3h+3h=-8
Add 3h to both sides.
6h=-8
Combine 3h and 3h to get 6h.
h=\frac{-8}{6}
Divide both sides by 6.
h=-\frac{4}{3}
Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.