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Simplifying 5(2h + 5) = 3(3h + 6) Reorder the terms: 5(5 + 2h) = 3(3h + 6) (5 * 5 + 2h * 5) = 3(3h + 6) (25 + 10h) = 3(3h + 6) Reorder the terms: 25 + 10h = 3(6 + 3h) 25 + 10h = (6 * 3 + 3h * 3) 25 + 10h = (18 + 9h) Solving 25 + 10h = 18 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. 25 + 10h + -9h = 18 + 9h + -9h Combine like terms: 10h + -9h = 1h 25 + 1h = 18 + 9h + -9h Combine like terms: 9h + -9h = 0 25 + 1h = 18 + 0 25 + 1h = 18 Add '-25' to each side of the equation. 25 + -25 + 1h = 18 + -25 Combine like terms: 25 + -25 = 0 0 + 1h = 18 + -25 1h = 18 + -25 Combine like terms: 18 + -25 = -7 1h = -7 Divide each side by '1'. h = -7 Simplifying h = -7
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