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Simplifying -6(u + 1) = u + -5 + 3(3u + 1) Reorder the terms: -6(1 + u) = u + -5 + 3(3u + 1) (1 * -6 + u * -6) = u + -5 + 3(3u + 1) (-6 + -6u) = u + -5 + 3(3u + 1) Reorder the terms: -6 + -6u = u + -5 + 3(1 + 3u) -6 + -6u = u + -5 + (1 * 3 + 3u * 3) -6 + -6u = u + -5 + (3 + 9u) Reorder the terms: -6 + -6u = -5 + 3 + u + 9u Combine like terms: -5 + 3 = -2 -6 + -6u = -2 + u + 9u Combine like terms: u + 9u = 10u -6 + -6u = -2 + 10u Solving -6 + -6u = -2 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -6 + -6u + -10u = -2 + 10u + -10u Combine like terms: -6u + -10u = -16u -6 + -16u = -2 + 10u + -10u Combine like terms: 10u + -10u = 0 -6 + -16u = -2 + 0 -6 + -16u = -2 Add '6' to each side of the equation. -6 + 6 + -16u = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -16u = -2 + 6 -16u = -2 + 6 Combine like terms: -2 + 6 = 4 -16u = 4 Divide each side by '-16'. u = -0.25 Simplifying u = -0.25
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