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Simplifying (3u + 2) + -1(u + 1) = u + (2u + 3) Reorder the terms: (2 + 3u) + -1(u + 1) = u + (2u + 3) Remove parenthesis around (2 + 3u) 2 + 3u + -1(u + 1) = u + (2u + 3) Reorder the terms: 2 + 3u + -1(1 + u) = u + (2u + 3) 2 + 3u + (1 * -1 + u * -1) = u + (2u + 3) 2 + 3u + (-1 + -1u) = u + (2u + 3) Reorder the terms: 2 + -1 + 3u + -1u = u + (2u + 3) Combine like terms: 2 + -1 = 1 1 + 3u + -1u = u + (2u + 3) Combine like terms: 3u + -1u = 2u 1 + 2u = u + (2u + 3) Reorder the terms: 1 + 2u = u + (3 + 2u) Remove parenthesis around (3 + 2u) 1 + 2u = u + 3 + 2u Reorder the terms: 1 + 2u = 3 + u + 2u Combine like terms: u + 2u = 3u 1 + 2u = 3 + 3u Solving 1 + 2u = 3 + 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. 1 + 2u + -3u = 3 + 3u + -3u Combine like terms: 2u + -3u = -1u 1 + -1u = 3 + 3u + -3u Combine like terms: 3u + -3u = 0 1 + -1u = 3 + 0 1 + -1u = 3 Add '-1' to each side of the equation. 1 + -1 + -1u = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 3 + -1 -1u = 3 + -1 Combine like terms: 3 + -1 = 2 -1u = 2 Divide each side by '-1'. u = -2 Simplifying u = -2
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