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Simplifying 4(5h + 3) = 2(7h + 12) Reorder the terms: 4(3 + 5h) = 2(7h + 12) (3 * 4 + 5h * 4) = 2(7h + 12) (12 + 20h) = 2(7h + 12) Reorder the terms: 12 + 20h = 2(12 + 7h) 12 + 20h = (12 * 2 + 7h * 2) 12 + 20h = (24 + 14h) Solving 12 + 20h = 24 + 14h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14h' to each side of the equation. 12 + 20h + -14h = 24 + 14h + -14h Combine like terms: 20h + -14h = 6h 12 + 6h = 24 + 14h + -14h Combine like terms: 14h + -14h = 0 12 + 6h = 24 + 0 12 + 6h = 24 Add '-12' to each side of the equation. 12 + -12 + 6h = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 6h = 24 + -12 6h = 24 + -12 Combine like terms: 24 + -12 = 12 6h = 12 Divide each side by '6'. h = 2 Simplifying h = 2
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