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Simplifying 3(2h + 1) = 5h + 8 Reorder the terms: 3(1 + 2h) = 5h + 8 (1 * 3 + 2h * 3) = 5h + 8 (3 + 6h) = 5h + 8 Reorder the terms: 3 + 6h = 8 + 5h Solving 3 + 6h = 8 + 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. 3 + 6h + -5h = 8 + 5h + -5h Combine like terms: 6h + -5h = 1h 3 + 1h = 8 + 5h + -5h Combine like terms: 5h + -5h = 0 3 + 1h = 8 + 0 3 + 1h = 8 Add '-3' to each side of the equation. 3 + -3 + 1h = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1h = 8 + -3 1h = 8 + -3 Combine like terms: 8 + -3 = 5 1h = 5 Divide each side by '1'. h = 5 Simplifying h = 5
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