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Simplifying 2h + 7 + -6h + 12 = 4h + 5 + -7h + -1 Reorder the terms: 7 + 12 + 2h + -6h = 4h + 5 + -7h + -1 Combine like terms: 7 + 12 = 19 19 + 2h + -6h = 4h + 5 + -7h + -1 Combine like terms: 2h + -6h = -4h 19 + -4h = 4h + 5 + -7h + -1 Reorder the terms: 19 + -4h = 5 + -1 + 4h + -7h Combine like terms: 5 + -1 = 4 19 + -4h = 4 + 4h + -7h Combine like terms: 4h + -7h = -3h 19 + -4h = 4 + -3h Solving 19 + -4h = 4 + -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. 19 + -4h + 3h = 4 + -3h + 3h Combine like terms: -4h + 3h = -1h 19 + -1h = 4 + -3h + 3h Combine like terms: -3h + 3h = 0 19 + -1h = 4 + 0 19 + -1h = 4 Add '-19' to each side of the equation. 19 + -19 + -1h = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -1h = 4 + -19 -1h = 4 + -19 Combine like terms: 4 + -19 = -15 -1h = -15 Divide each side by '-1'. h = 15 Simplifying h = 15
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