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Simplifying 4h + 9 = 3 + 9(-1h + 46) Reorder the terms: 9 + 4h = 3 + 9(-1h + 46) Reorder the terms: 9 + 4h = 3 + 9(46 + -1h) 9 + 4h = 3 + (46 * 9 + -1h * 9) 9 + 4h = 3 + (414 + -9h) Combine like terms: 3 + 414 = 417 9 + 4h = 417 + -9h Solving 9 + 4h = 417 + -9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '9h' to each side of the equation. 9 + 4h + 9h = 417 + -9h + 9h Combine like terms: 4h + 9h = 13h 9 + 13h = 417 + -9h + 9h Combine like terms: -9h + 9h = 0 9 + 13h = 417 + 0 9 + 13h = 417 Add '-9' to each side of the equation. 9 + -9 + 13h = 417 + -9 Combine like terms: 9 + -9 = 0 0 + 13h = 417 + -9 13h = 417 + -9 Combine like terms: 417 + -9 = 408 13h = 408 Divide each side by '13'. h = 31.38461538 Simplifying h = 31.38461538
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