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Simplifying 4u + 7(2 + -1u) = 3(u + -1) + 9 4u + (2 * 7 + -1u * 7) = 3(u + -1) + 9 4u + (14 + -7u) = 3(u + -1) + 9 Reorder the terms: 14 + 4u + -7u = 3(u + -1) + 9 Combine like terms: 4u + -7u = -3u 14 + -3u = 3(u + -1) + 9 Reorder the terms: 14 + -3u = 3(-1 + u) + 9 14 + -3u = (-1 * 3 + u * 3) + 9 14 + -3u = (-3 + 3u) + 9 Reorder the terms: 14 + -3u = -3 + 9 + 3u Combine like terms: -3 + 9 = 6 14 + -3u = 6 + 3u Solving 14 + -3u = 6 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 14 + -3u + -3u = 6 + 3u + -3u Combine like terms: -3u + -3u = -6u 14 + -6u = 6 + 3u + -3u Combine like terms: 3u + -3u = 0 14 + -6u = 6 + 0 14 + -6u = 6 Add '-14' to each side of the equation. 14 + -14 + -6u = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -6u = 6 + -14 -6u = 6 + -14 Combine like terms: 6 + -14 = -8 -6u = -8 Divide each side by '-6'. u = 1.333333333 Simplifying u = 1.333333333
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