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