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Simplifying 75(h + 50) = 55(h + 120) Reorder the terms: 75(50 + h) = 55(h + 120) (50 * 75 + h * 75) = 55(h + 120) (3750 + 75h) = 55(h + 120) Reorder the terms: 3750 + 75h = 55(120 + h) 3750 + 75h = (120 * 55 + h * 55) 3750 + 75h = (6600 + 55h) Solving 3750 + 75h = 6600 + 55h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-55h' to each side of the equation. 3750 + 75h + -55h = 6600 + 55h + -55h Combine like terms: 75h + -55h = 20h 3750 + 20h = 6600 + 55h + -55h Combine like terms: 55h + -55h = 0 3750 + 20h = 6600 + 0 3750 + 20h = 6600 Add '-3750' to each side of the equation. 3750 + -3750 + 20h = 6600 + -3750 Combine like terms: 3750 + -3750 = 0 0 + 20h = 6600 + -3750 20h = 6600 + -3750 Combine like terms: 6600 + -3750 = 2850 20h = 2850 Divide each side by '20'. h = 142.5 Simplifying h = 142.5
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