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Simplifying 3(h + 5) = 2(h + 9) Reorder the terms: 3(5 + h) = 2(h + 9) (5 * 3 + h * 3) = 2(h + 9) (15 + 3h) = 2(h + 9) Reorder the terms: 15 + 3h = 2(9 + h) 15 + 3h = (9 * 2 + h * 2) 15 + 3h = (18 + 2h) Solving 15 + 3h = 18 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. 15 + 3h + -2h = 18 + 2h + -2h Combine like terms: 3h + -2h = 1h 15 + 1h = 18 + 2h + -2h Combine like terms: 2h + -2h = 0 15 + 1h = 18 + 0 15 + 1h = 18 Add '-15' to each side of the equation. 15 + -15 + 1h = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 1h = 18 + -15 1h = 18 + -15 Combine like terms: 18 + -15 = 3 1h = 3 Divide each side by '1'. h = 3 Simplifying h = 3
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