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Simplifying 4h + 9 = 3 + (-1h + 45) Reorder the terms: 9 + 4h = 3 + (-1h + 45) Reorder the terms: 9 + 4h = 3 + (45 + -1h) Remove parenthesis around (45 + -1h) 9 + 4h = 3 + 45 + -1h Combine like terms: 3 + 45 = 48 9 + 4h = 48 + -1h Solving 9 + 4h = 48 + -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. 9 + 4h + h = 48 + -1h + h Combine like terms: 4h + h = 5h 9 + 5h = 48 + -1h + h Combine like terms: -1h + h = 0 9 + 5h = 48 + 0 9 + 5h = 48 Add '-9' to each side of the equation. 9 + -9 + 5h = 48 + -9 Combine like terms: 9 + -9 = 0 0 + 5h = 48 + -9 5h = 48 + -9 Combine like terms: 48 + -9 = 39 5h = 39 Divide each side by '5'. h = 7.8 Simplifying h = 7.8
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