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Simplifying -2(u + 6) = 4u + -8 + 4(3u + 2) Reorder the terms: -2(6 + u) = 4u + -8 + 4(3u + 2) (6 * -2 + u * -2) = 4u + -8 + 4(3u + 2) (-12 + -2u) = 4u + -8 + 4(3u + 2) Reorder the terms: -12 + -2u = 4u + -8 + 4(2 + 3u) -12 + -2u = 4u + -8 + (2 * 4 + 3u * 4) -12 + -2u = 4u + -8 + (8 + 12u) Reorder the terms: -12 + -2u = -8 + 8 + 4u + 12u Combine like terms: -8 + 8 = 0 -12 + -2u = 0 + 4u + 12u -12 + -2u = 4u + 12u Combine like terms: 4u + 12u = 16u -12 + -2u = 16u Solving -12 + -2u = 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -12 + -2u + -16u = 16u + -16u Combine like terms: -2u + -16u = -18u -12 + -18u = 16u + -16u Combine like terms: 16u + -16u = 0 -12 + -18u = 0 Add '12' to each side of the equation. -12 + 12 + -18u = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -18u = 0 + 12 -18u = 0 + 12 Combine like terms: 0 + 12 = 12 -18u = 12 Divide each side by '-18'. u = -0.6666666667 Simplifying u = -0.6666666667
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