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Simplifying 6(2h + 10) = 5(h + 5) Reorder the terms: 6(10 + 2h) = 5(h + 5) (10 * 6 + 2h * 6) = 5(h + 5) (60 + 12h) = 5(h + 5) Reorder the terms: 60 + 12h = 5(5 + h) 60 + 12h = (5 * 5 + h * 5) 60 + 12h = (25 + 5h) Solving 60 + 12h = 25 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 60 + 12h + -5h = 25 + 5h + -5h Combine like terms: 12h + -5h = 7h 60 + 7h = 25 + 5h + -5h Combine like terms: 5h + -5h = 0 60 + 7h = 25 + 0 60 + 7h = 25 Add '-60' to each side of the equation. 60 + -60 + 7h = 25 + -60 Combine like terms: 60 + -60 = 0 0 + 7h = 25 + -60 7h = 25 + -60 Combine like terms: 25 + -60 = -35 7h = -35 Divide each side by '7'. h = -5 Simplifying h = -5
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