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Simplifying 5h + 9(3n + 17) = 34 Reorder the terms: 5h + 9(17 + 3n) = 34 5h + (17 * 9 + 3n * 9) = 34 5h + (153 + 27n) = 34 Reorder the terms: 153 + 5h + 27n = 34 Solving 153 + 5h + 27n = 34 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-153' to each side of the equation. 153 + 5h + -153 + 27n = 34 + -153 Reorder the terms: 153 + -153 + 5h + 27n = 34 + -153 Combine like terms: 153 + -153 = 0 0 + 5h + 27n = 34 + -153 5h + 27n = 34 + -153 Combine like terms: 34 + -153 = -119 5h + 27n = -119 Add '-27n' to each side of the equation. 5h + 27n + -27n = -119 + -27n Combine like terms: 27n + -27n = 0 5h + 0 = -119 + -27n 5h = -119 + -27n Divide each side by '5'. h = -23.8 + -5.4n Simplifying h = -23.8 + -5.4n
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