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Simplifying 16 + 4(18h + 20) = 6(13h + 5) Reorder the terms: 16 + 4(20 + 18h) = 6(13h + 5) 16 + (20 * 4 + 18h * 4) = 6(13h + 5) 16 + (80 + 72h) = 6(13h + 5) Combine like terms: 16 + 80 = 96 96 + 72h = 6(13h + 5) Reorder the terms: 96 + 72h = 6(5 + 13h) 96 + 72h = (5 * 6 + 13h * 6) 96 + 72h = (30 + 78h) Solving 96 + 72h = 30 + 78h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-78h' to each side of the equation. 96 + 72h + -78h = 30 + 78h + -78h Combine like terms: 72h + -78h = -6h 96 + -6h = 30 + 78h + -78h Combine like terms: 78h + -78h = 0 96 + -6h = 30 + 0 96 + -6h = 30 Add '-96' to each side of the equation. 96 + -96 + -6h = 30 + -96 Combine like terms: 96 + -96 = 0 0 + -6h = 30 + -96 -6h = 30 + -96 Combine like terms: 30 + -96 = -66 -6h = -66 Divide each side by '-6'. h = 11 Simplifying h = 11
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