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Simplifying 4h + 7 = 42 + -1h Reorder the terms: 7 + 4h = 42 + -1h Solving 7 + 4h = 42 + -1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add 'h' to each side of the equation. 7 + 4h + h = 42 + -1h + h Combine like terms: 4h + h = 5h 7 + 5h = 42 + -1h + h Combine like terms: -1h + h = 0 7 + 5h = 42 + 0 7 + 5h = 42 Add '-7' to each side of the equation. 7 + -7 + 5h = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5h = 42 + -7 5h = 42 + -7 Combine like terms: 42 + -7 = 35 5h = 35 Divide each side by '5'. h = 7 Simplifying h = 7
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