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Simplifying 8h + -17 = 6h + 47 Reorder the terms: -17 + 8h = 6h + 47 Reorder the terms: -17 + 8h = 47 + 6h Solving -17 + 8h = 47 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. -17 + 8h + -6h = 47 + 6h + -6h Combine like terms: 8h + -6h = 2h -17 + 2h = 47 + 6h + -6h Combine like terms: 6h + -6h = 0 -17 + 2h = 47 + 0 -17 + 2h = 47 Add '17' to each side of the equation. -17 + 17 + 2h = 47 + 17 Combine like terms: -17 + 17 = 0 0 + 2h = 47 + 17 2h = 47 + 17 Combine like terms: 47 + 17 = 64 2h = 64 Divide each side by '2'. h = 32 Simplifying h = 32
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