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Simplifying 9(3u + 11) + -14 = 11u + -41 + -2u Reorder the terms: 9(11 + 3u) + -14 = 11u + -41 + -2u (11 * 9 + 3u * 9) + -14 = 11u + -41 + -2u (99 + 27u) + -14 = 11u + -41 + -2u Reorder the terms: 99 + -14 + 27u = 11u + -41 + -2u Combine like terms: 99 + -14 = 85 85 + 27u = 11u + -41 + -2u Reorder the terms: 85 + 27u = -41 + 11u + -2u Combine like terms: 11u + -2u = 9u 85 + 27u = -41 + 9u Solving 85 + 27u = -41 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 85 + 27u + -9u = -41 + 9u + -9u Combine like terms: 27u + -9u = 18u 85 + 18u = -41 + 9u + -9u Combine like terms: 9u + -9u = 0 85 + 18u = -41 + 0 85 + 18u = -41 Add '-85' to each side of the equation. 85 + -85 + 18u = -41 + -85 Combine like terms: 85 + -85 = 0 0 + 18u = -41 + -85 18u = -41 + -85 Combine like terms: -41 + -85 = -126 18u = -126 Divide each side by '18'. u = -7 Simplifying u = -7
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