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Simplifying 6(6h + 3) = 4(2 + 5h) Reorder the terms: 6(3 + 6h) = 4(2 + 5h) (3 * 6 + 6h * 6) = 4(2 + 5h) (18 + 36h) = 4(2 + 5h) 18 + 36h = (2 * 4 + 5h * 4) 18 + 36h = (8 + 20h) Solving 18 + 36h = 8 + 20h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-20h' to each side of the equation. 18 + 36h + -20h = 8 + 20h + -20h Combine like terms: 36h + -20h = 16h 18 + 16h = 8 + 20h + -20h Combine like terms: 20h + -20h = 0 18 + 16h = 8 + 0 18 + 16h = 8 Add '-18' to each side of the equation. 18 + -18 + 16h = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 16h = 8 + -18 16h = 8 + -18 Combine like terms: 8 + -18 = -10 16h = -10 Divide each side by '16'. h = -0.625 Simplifying h = -0.625
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