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Simplifying 6h + 9(h + 3) = -9(-1h + -9) Reorder the terms: 6h + 9(3 + h) = -9(-1h + -9) 6h + (3 * 9 + h * 9) = -9(-1h + -9) 6h + (27 + 9h) = -9(-1h + -9) Reorder the terms: 27 + 6h + 9h = -9(-1h + -9) Combine like terms: 6h + 9h = 15h 27 + 15h = -9(-1h + -9) Reorder the terms: 27 + 15h = -9(-9 + -1h) 27 + 15h = (-9 * -9 + -1h * -9) 27 + 15h = (81 + 9h) Solving 27 + 15h = 81 + 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. 27 + 15h + -9h = 81 + 9h + -9h Combine like terms: 15h + -9h = 6h 27 + 6h = 81 + 9h + -9h Combine like terms: 9h + -9h = 0 27 + 6h = 81 + 0 27 + 6h = 81 Add '-27' to each side of the equation. 27 + -27 + 6h = 81 + -27 Combine like terms: 27 + -27 = 0 0 + 6h = 81 + -27 6h = 81 + -27 Combine like terms: 81 + -27 = 54 6h = 54 Divide each side by '6'. h = 9 Simplifying h = 9
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