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Simplifying -3(u + 1) = 5u + -1 + 2(3u + 1) Reorder the terms: -3(1 + u) = 5u + -1 + 2(3u + 1) (1 * -3 + u * -3) = 5u + -1 + 2(3u + 1) (-3 + -3u) = 5u + -1 + 2(3u + 1) Reorder the terms: -3 + -3u = 5u + -1 + 2(1 + 3u) -3 + -3u = 5u + -1 + (1 * 2 + 3u * 2) -3 + -3u = 5u + -1 + (2 + 6u) Reorder the terms: -3 + -3u = -1 + 2 + 5u + 6u Combine like terms: -1 + 2 = 1 -3 + -3u = 1 + 5u + 6u Combine like terms: 5u + 6u = 11u -3 + -3u = 1 + 11u Solving -3 + -3u = 1 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -3 + -3u + -11u = 1 + 11u + -11u Combine like terms: -3u + -11u = -14u -3 + -14u = 1 + 11u + -11u Combine like terms: 11u + -11u = 0 -3 + -14u = 1 + 0 -3 + -14u = 1 Add '3' to each side of the equation. -3 + 3 + -14u = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -14u = 1 + 3 -14u = 1 + 3 Combine like terms: 1 + 3 = 4 -14u = 4 Divide each side by '-14'. u = -0.2857142857 Simplifying u = -0.2857142857
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