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Simplifying 0.75h + 3 = 6(-1h + 3) Reorder the terms: 3 + 0.75h = 6(-1h + 3) Reorder the terms: 3 + 0.75h = 6(3 + -1h) 3 + 0.75h = (3 * 6 + -1h * 6) 3 + 0.75h = (18 + -6h) Solving 3 + 0.75h = 18 + -6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '6h' to each side of the equation. 3 + 0.75h + 6h = 18 + -6h + 6h Combine like terms: 0.75h + 6h = 6.75h 3 + 6.75h = 18 + -6h + 6h Combine like terms: -6h + 6h = 0 3 + 6.75h = 18 + 0 3 + 6.75h = 18 Add '-3' to each side of the equation. 3 + -3 + 6.75h = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 6.75h = 18 + -3 6.75h = 18 + -3 Combine like terms: 18 + -3 = 15 6.75h = 15 Divide each side by '6.75'. h = 2.222222222 Simplifying h = 2.222222222
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