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