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Simplifying 0.5(h + 4) + 2 = 3(2 + -1h) Reorder the terms: 0.5(4 + h) + 2 = 3(2 + -1h) (4 * 0.5 + h * 0.5) + 2 = 3(2 + -1h) (2 + 0.5h) + 2 = 3(2 + -1h) Reorder the terms: 2 + 2 + 0.5h = 3(2 + -1h) Combine like terms: 2 + 2 = 4 4 + 0.5h = 3(2 + -1h) 4 + 0.5h = (2 * 3 + -1h * 3) 4 + 0.5h = (6 + -3h) Solving 4 + 0.5h = 6 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. 4 + 0.5h + 3h = 6 + -3h + 3h Combine like terms: 0.5h + 3h = 3.5h 4 + 3.5h = 6 + -3h + 3h Combine like terms: -3h + 3h = 0 4 + 3.5h = 6 + 0 4 + 3.5h = 6 Add '-4' to each side of the equation. 4 + -4 + 3.5h = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 3.5h = 6 + -4 3.5h = 6 + -4 Combine like terms: 6 + -4 = 2 3.5h = 2 Divide each side by '3.5'. h = 0.5714285714 Simplifying h = 0.5714285714
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