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Simplifying 4h + 31 + -7h = 9 + h + 6 Reorder the terms: 31 + 4h + -7h = 9 + h + 6 Combine like terms: 4h + -7h = -3h 31 + -3h = 9 + h + 6 Reorder the terms: 31 + -3h = 9 + 6 + h Combine like terms: 9 + 6 = 15 31 + -3h = 15 + h Solving 31 + -3h = 15 + h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 31 + -3h + -1h = 15 + h + -1h Combine like terms: -3h + -1h = -4h 31 + -4h = 15 + h + -1h Combine like terms: h + -1h = 0 31 + -4h = 15 + 0 31 + -4h = 15 Add '-31' to each side of the equation. 31 + -31 + -4h = 15 + -31 Combine like terms: 31 + -31 = 0 0 + -4h = 15 + -31 -4h = 15 + -31 Combine like terms: 15 + -31 = -16 -4h = -16 Divide each side by '-4'. h = 4 Simplifying h = 4
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