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Simplifying 2(5h + 4) = 3(4 + 3h) Reorder the terms: 2(4 + 5h) = 3(4 + 3h) (4 * 2 + 5h * 2) = 3(4 + 3h) (8 + 10h) = 3(4 + 3h) 8 + 10h = (4 * 3 + 3h * 3) 8 + 10h = (12 + 9h) Solving 8 + 10h = 12 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. 8 + 10h + -9h = 12 + 9h + -9h Combine like terms: 10h + -9h = 1h 8 + 1h = 12 + 9h + -9h Combine like terms: 9h + -9h = 0 8 + 1h = 12 + 0 8 + 1h = 12 Add '-8' to each side of the equation. 8 + -8 + 1h = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1h = 12 + -8 1h = 12 + -8 Combine like terms: 12 + -8 = 4 1h = 4 Divide each side by '1'. h = 4 Simplifying h = 4
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