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Simplifying -9(h + -9) = 10 + -8h Reorder the terms: -9(-9 + h) = 10 + -8h (-9 * -9 + h * -9) = 10 + -8h (81 + -9h) = 10 + -8h Solving 81 + -9h = 10 + -8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '8h' to each side of the equation. 81 + -9h + 8h = 10 + -8h + 8h Combine like terms: -9h + 8h = -1h 81 + -1h = 10 + -8h + 8h Combine like terms: -8h + 8h = 0 81 + -1h = 10 + 0 81 + -1h = 10 Add '-81' to each side of the equation. 81 + -81 + -1h = 10 + -81 Combine like terms: 81 + -81 = 0 0 + -1h = 10 + -81 -1h = 10 + -81 Combine like terms: 10 + -81 = -71 -1h = -71 Divide each side by '-1'. h = 71 Simplifying h = 71
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