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Simplifying -2(u + 1) = 2u + -6 + 2(3u + 4) Reorder the terms: -2(1 + u) = 2u + -6 + 2(3u + 4) (1 * -2 + u * -2) = 2u + -6 + 2(3u + 4) (-2 + -2u) = 2u + -6 + 2(3u + 4) Reorder the terms: -2 + -2u = 2u + -6 + 2(4 + 3u) -2 + -2u = 2u + -6 + (4 * 2 + 3u * 2) -2 + -2u = 2u + -6 + (8 + 6u) Reorder the terms: -2 + -2u = -6 + 8 + 2u + 6u Combine like terms: -6 + 8 = 2 -2 + -2u = 2 + 2u + 6u Combine like terms: 2u + 6u = 8u -2 + -2u = 2 + 8u Solving -2 + -2u = 2 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -2 + -2u + -8u = 2 + 8u + -8u Combine like terms: -2u + -8u = -10u -2 + -10u = 2 + 8u + -8u Combine like terms: 8u + -8u = 0 -2 + -10u = 2 + 0 -2 + -10u = 2 Add '2' to each side of the equation. -2 + 2 + -10u = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -10u = 2 + 2 -10u = 2 + 2 Combine like terms: 2 + 2 = 4 -10u = 4 Divide each side by '-10'. u = -0.4 Simplifying u = -0.4
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