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Simplifying 1.5(h + 40) + 46 = 588 Reorder the terms: 1.5(40 + h) + 46 = 588 (40 * 1.5 + h * 1.5) + 46 = 588 (60 + 1.5h) + 46 = 588 Reorder the terms: 60 + 46 + 1.5h = 588 Combine like terms: 60 + 46 = 106 106 + 1.5h = 588 Solving 106 + 1.5h = 588 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + 1.5h = 588 + -106 Combine like terms: 106 + -106 = 0 0 + 1.5h = 588 + -106 1.5h = 588 + -106 Combine like terms: 588 + -106 = 482 1.5h = 482 Divide each side by '1.5'. h = 321.3333333 Simplifying h = 321.3333333
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