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6h-96=8\times 8+5
Multiply both sides of the equation by 8, the least common multiple of 4,8.
6h-96=64+5
Multiply 8 and 8 to get 64.
6h-96=69
Add 64 and 5 to get 69.
6h=69+96
Add 96 to both sides.
6h=165
Add 69 and 96 to get 165.
h=\frac{165}{6}
Divide both sides by 6.
h=\frac{55}{2}
Reduce the fraction \frac{165}{6} to lowest terms by extracting and canceling out 3.