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Simplifying 5h + 40 = 6h + 30 Reorder the terms: 40 + 5h = 6h + 30 Reorder the terms: 40 + 5h = 30 + 6h Solving 40 + 5h = 30 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 40 + 5h + -6h = 30 + 6h + -6h Combine like terms: 5h + -6h = -1h 40 + -1h = 30 + 6h + -6h Combine like terms: 6h + -6h = 0 40 + -1h = 30 + 0 40 + -1h = 30 Add '-40' to each side of the equation. 40 + -40 + -1h = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -1h = 30 + -40 -1h = 30 + -40 Combine like terms: 30 + -40 = -10 -1h = -10 Divide each side by '-1'. h = 10 Simplifying h = 10
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