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Simplifying h + 117 = -5h + 9 Reorder the terms: 117 + h = -5h + 9 Reorder the terms: 117 + h = 9 + -5h Solving 117 + h = 9 + -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. 117 + h + 5h = 9 + -5h + 5h Combine like terms: h + 5h = 6h 117 + 6h = 9 + -5h + 5h Combine like terms: -5h + 5h = 0 117 + 6h = 9 + 0 117 + 6h = 9 Add '-117' to each side of the equation. 117 + -117 + 6h = 9 + -117 Combine like terms: 117 + -117 = 0 0 + 6h = 9 + -117 6h = 9 + -117 Combine like terms: 9 + -117 = -108 6h = -108 Divide each side by '6'. h = -18 Simplifying h = -18
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