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Simplifying 3h + 10 + 2h = 2(6 + -1h) Reorder the terms: 10 + 3h + 2h = 2(6 + -1h) Combine like terms: 3h + 2h = 5h 10 + 5h = 2(6 + -1h) 10 + 5h = (6 * 2 + -1h * 2) 10 + 5h = (12 + -2h) Solving 10 + 5h = 12 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. 10 + 5h + 2h = 12 + -2h + 2h Combine like terms: 5h + 2h = 7h 10 + 7h = 12 + -2h + 2h Combine like terms: -2h + 2h = 0 10 + 7h = 12 + 0 10 + 7h = 12 Add '-10' to each side of the equation. 10 + -10 + 7h = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 7h = 12 + -10 7h = 12 + -10 Combine like terms: 12 + -10 = 2 7h = 2 Divide each side by '7'. h = 0.2857142857 Simplifying h = 0.2857142857
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