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Simplifying 4h + 12 + -6h + 18 = 5h + 5 + -9h + -9 Reorder the terms: 12 + 18 + 4h + -6h = 5h + 5 + -9h + -9 Combine like terms: 12 + 18 = 30 30 + 4h + -6h = 5h + 5 + -9h + -9 Combine like terms: 4h + -6h = -2h 30 + -2h = 5h + 5 + -9h + -9 Reorder the terms: 30 + -2h = 5 + -9 + 5h + -9h Combine like terms: 5 + -9 = -4 30 + -2h = -4 + 5h + -9h Combine like terms: 5h + -9h = -4h 30 + -2h = -4 + -4h Solving 30 + -2h = -4 + -4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '4h' to each side of the equation. 30 + -2h + 4h = -4 + -4h + 4h Combine like terms: -2h + 4h = 2h 30 + 2h = -4 + -4h + 4h Combine like terms: -4h + 4h = 0 30 + 2h = -4 + 0 30 + 2h = -4 Add '-30' to each side of the equation. 30 + -30 + 2h = -4 + -30 Combine like terms: 30 + -30 = 0 0 + 2h = -4 + -30 2h = -4 + -30 Combine like terms: -4 + -30 = -34 2h = -34 Divide each side by '2'. h = -17 Simplifying h = -17
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