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Simplifying 3h + 10 + -9h + -5 = 2h + -15 + -5h + 5 Reorder the terms: 10 + -5 + 3h + -9h = 2h + -15 + -5h + 5 Combine like terms: 10 + -5 = 5 5 + 3h + -9h = 2h + -15 + -5h + 5 Combine like terms: 3h + -9h = -6h 5 + -6h = 2h + -15 + -5h + 5 Reorder the terms: 5 + -6h = -15 + 5 + 2h + -5h Combine like terms: -15 + 5 = -10 5 + -6h = -10 + 2h + -5h Combine like terms: 2h + -5h = -3h 5 + -6h = -10 + -3h Solving 5 + -6h = -10 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. 5 + -6h + 3h = -10 + -3h + 3h Combine like terms: -6h + 3h = -3h 5 + -3h = -10 + -3h + 3h Combine like terms: -3h + 3h = 0 5 + -3h = -10 + 0 5 + -3h = -10 Add '-5' to each side of the equation. 5 + -5 + -3h = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -3h = -10 + -5 -3h = -10 + -5 Combine like terms: -10 + -5 = -15 -3h = -15 Divide each side by '-3'. h = 5 Simplifying h = 5
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