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Simplifying 2(3h + 9) = 35 + 4h Reorder the terms: 2(9 + 3h) = 35 + 4h (9 * 2 + 3h * 2) = 35 + 4h (18 + 6h) = 35 + 4h Solving 18 + 6h = 35 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. 18 + 6h + -4h = 35 + 4h + -4h Combine like terms: 6h + -4h = 2h 18 + 2h = 35 + 4h + -4h Combine like terms: 4h + -4h = 0 18 + 2h = 35 + 0 18 + 2h = 35 Add '-18' to each side of the equation. 18 + -18 + 2h = 35 + -18 Combine like terms: 18 + -18 = 0 0 + 2h = 35 + -18 2h = 35 + -18 Combine like terms: 35 + -18 = 17 2h = 17 Divide each side by '2'. h = 8.5 Simplifying h = 8.5
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