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Simplifying 5u + 2(1 + -1u) = u + 8 5u + (1 * 2 + -1u * 2) = u + 8 5u + (2 + -2u) = u + 8 Reorder the terms: 2 + 5u + -2u = u + 8 Combine like terms: 5u + -2u = 3u 2 + 3u = u + 8 Reorder the terms: 2 + 3u = 8 + u Solving 2 + 3u = 8 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 2 + 3u + -1u = 8 + u + -1u Combine like terms: 3u + -1u = 2u 2 + 2u = 8 + u + -1u Combine like terms: u + -1u = 0 2 + 2u = 8 + 0 2 + 2u = 8 Add '-2' to each side of the equation. 2 + -2 + 2u = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2u = 8 + -2 2u = 8 + -2 Combine like terms: 8 + -2 = 6 2u = 6 Divide each side by '2'. u = 3 Simplifying u = 3
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