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Simplifying 2h + 3 = 0.5h + 12 Reorder the terms: 3 + 2h = 0.5h + 12 Reorder the terms: 3 + 2h = 12 + 0.5h Solving 3 + 2h = 12 + 0.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.5h' to each side of the equation. 3 + 2h + -0.5h = 12 + 0.5h + -0.5h Combine like terms: 2h + -0.5h = 1.5h 3 + 1.5h = 12 + 0.5h + -0.5h Combine like terms: 0.5h + -0.5h = 0.0 3 + 1.5h = 12 + 0.0 3 + 1.5h = 12 Add '-3' to each side of the equation. 3 + -3 + 1.5h = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5h = 12 + -3 1.5h = 12 + -3 Combine like terms: 12 + -3 = 9 1.5h = 9 Divide each side by '1.5'. h = 6 Simplifying h = 6
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