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Simplifying -3(u + 1) = 3u + -9 + 2(2u + 4) Reorder the terms: -3(1 + u) = 3u + -9 + 2(2u + 4) (1 * -3 + u * -3) = 3u + -9 + 2(2u + 4) (-3 + -3u) = 3u + -9 + 2(2u + 4) Reorder the terms: -3 + -3u = 3u + -9 + 2(4 + 2u) -3 + -3u = 3u + -9 + (4 * 2 + 2u * 2) -3 + -3u = 3u + -9 + (8 + 4u) Reorder the terms: -3 + -3u = -9 + 8 + 3u + 4u Combine like terms: -9 + 8 = -1 -3 + -3u = -1 + 3u + 4u Combine like terms: 3u + 4u = 7u -3 + -3u = -1 + 7u Solving -3 + -3u = -1 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -3 + -3u + -7u = -1 + 7u + -7u Combine like terms: -3u + -7u = -10u -3 + -10u = -1 + 7u + -7u Combine like terms: 7u + -7u = 0 -3 + -10u = -1 + 0 -3 + -10u = -1 Add '3' to each side of the equation. -3 + 3 + -10u = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -10u = -1 + 3 -10u = -1 + 3 Combine like terms: -1 + 3 = 2 -10u = 2 Divide each side by '-10'. u = -0.2 Simplifying u = -0.2
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