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Simplifying 3h + -2h + 15 = 5h + -7h Reorder the terms: 15 + 3h + -2h = 5h + -7h Combine like terms: 3h + -2h = 1h 15 + 1h = 5h + -7h Combine like terms: 5h + -7h = -2h 15 + 1h = -2h Solving 15 + 1h = -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. 15 + 1h + 2h = -2h + 2h Combine like terms: 1h + 2h = 3h 15 + 3h = -2h + 2h Combine like terms: -2h + 2h = 0 15 + 3h = 0 Add '-15' to each side of the equation. 15 + -15 + 3h = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3h = 0 + -15 3h = 0 + -15 Combine like terms: 0 + -15 = -15 3h = -15 Divide each side by '3'. h = -5 Simplifying h = -5
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