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Simplifying 2(u + 4) = -6(3u + -3) + 2u Reorder the terms: 2(4 + u) = -6(3u + -3) + 2u (4 * 2 + u * 2) = -6(3u + -3) + 2u (8 + 2u) = -6(3u + -3) + 2u Reorder the terms: 8 + 2u = -6(-3 + 3u) + 2u 8 + 2u = (-3 * -6 + 3u * -6) + 2u 8 + 2u = (18 + -18u) + 2u Combine like terms: -18u + 2u = -16u 8 + 2u = 18 + -16u Solving 8 + 2u = 18 + -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. 8 + 2u + 16u = 18 + -16u + 16u Combine like terms: 2u + 16u = 18u 8 + 18u = 18 + -16u + 16u Combine like terms: -16u + 16u = 0 8 + 18u = 18 + 0 8 + 18u = 18 Add '-8' to each side of the equation. 8 + -8 + 18u = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 18u = 18 + -8 18u = 18 + -8 Combine like terms: 18 + -8 = 10 18u = 10 Divide each side by '18'. u = 0.5555555556 Simplifying u = 0.5555555556
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