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Simplifying -2(u + 6) = u + -5 + 3(5u + 3) Reorder the terms: -2(6 + u) = u + -5 + 3(5u + 3) (6 * -2 + u * -2) = u + -5 + 3(5u + 3) (-12 + -2u) = u + -5 + 3(5u + 3) Reorder the terms: -12 + -2u = u + -5 + 3(3 + 5u) -12 + -2u = u + -5 + (3 * 3 + 5u * 3) -12 + -2u = u + -5 + (9 + 15u) Reorder the terms: -12 + -2u = -5 + 9 + u + 15u Combine like terms: -5 + 9 = 4 -12 + -2u = 4 + u + 15u Combine like terms: u + 15u = 16u -12 + -2u = 4 + 16u Solving -12 + -2u = 4 + 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 = 4 + 16u + -16u Combine like terms: -2u + -16u = -18u -12 + -18u = 4 + 16u + -16u Combine like terms: 16u + -16u = 0 -12 + -18u = 4 + 0 -12 + -18u = 4 Add '12' to each side of the equation. -12 + 12 + -18u = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -18u = 4 + 12 -18u = 4 + 12 Combine like terms: 4 + 12 = 16 -18u = 16 Divide each side by '-18'. u = -0.8888888889 Simplifying u = -0.8888888889
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