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Simplifying 6(h + 4) = 5(h + 3) Reorder the terms: 6(4 + h) = 5(h + 3) (4 * 6 + h * 6) = 5(h + 3) (24 + 6h) = 5(h + 3) Reorder the terms: 24 + 6h = 5(3 + h) 24 + 6h = (3 * 5 + h * 5) 24 + 6h = (15 + 5h) Solving 24 + 6h = 15 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 24 + 6h + -5h = 15 + 5h + -5h Combine like terms: 6h + -5h = 1h 24 + 1h = 15 + 5h + -5h Combine like terms: 5h + -5h = 0 24 + 1h = 15 + 0 24 + 1h = 15 Add '-24' to each side of the equation. 24 + -24 + 1h = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 1h = 15 + -24 1h = 15 + -24 Combine like terms: 15 + -24 = -9 1h = -9 Divide each side by '1'. h = -9 Simplifying h = -9
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