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Simplifying 2(6h + 9) = 5(2h + 4) Reorder the terms: 2(9 + 6h) = 5(2h + 4) (9 * 2 + 6h * 2) = 5(2h + 4) (18 + 12h) = 5(2h + 4) Reorder the terms: 18 + 12h = 5(4 + 2h) 18 + 12h = (4 * 5 + 2h * 5) 18 + 12h = (20 + 10h) Solving 18 + 12h = 20 + 10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-10h' to each side of the equation. 18 + 12h + -10h = 20 + 10h + -10h Combine like terms: 12h + -10h = 2h 18 + 2h = 20 + 10h + -10h Combine like terms: 10h + -10h = 0 18 + 2h = 20 + 0 18 + 2h = 20 Add '-18' to each side of the equation. 18 + -18 + 2h = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 2h = 20 + -18 2h = 20 + -18 Combine like terms: 20 + -18 = 2 2h = 2 Divide each side by '2'. h = 1 Simplifying h = 1
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