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Simplifying 3(11u + 19) + 20 = 9u + 18u + -19 Reorder the terms: 3(19 + 11u) + 20 = 9u + 18u + -19 (19 * 3 + 11u * 3) + 20 = 9u + 18u + -19 (57 + 33u) + 20 = 9u + 18u + -19 Reorder the terms: 57 + 20 + 33u = 9u + 18u + -19 Combine like terms: 57 + 20 = 77 77 + 33u = 9u + 18u + -19 Reorder the terms: 77 + 33u = -19 + 9u + 18u Combine like terms: 9u + 18u = 27u 77 + 33u = -19 + 27u Solving 77 + 33u = -19 + 27u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-27u' to each side of the equation. 77 + 33u + -27u = -19 + 27u + -27u Combine like terms: 33u + -27u = 6u 77 + 6u = -19 + 27u + -27u Combine like terms: 27u + -27u = 0 77 + 6u = -19 + 0 77 + 6u = -19 Add '-77' to each side of the equation. 77 + -77 + 6u = -19 + -77 Combine like terms: 77 + -77 = 0 0 + 6u = -19 + -77 6u = -19 + -77 Combine like terms: -19 + -77 = -96 6u = -96 Divide each side by '6'. u = -16 Simplifying u = -16
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