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Simplifying 3u + 3(1 + -1u) = u + 12 3u + (1 * 3 + -1u * 3) = u + 12 3u + (3 + -3u) = u + 12 Reorder the terms: 3 + 3u + -3u = u + 12 Combine like terms: 3u + -3u = 0 3 + 0 = u + 12 3 = u + 12 Reorder the terms: 3 = 12 + u Solving 3 = 12 + 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. 3 + -1u = 12 + u + -1u Combine like terms: u + -1u = 0 3 + -1u = 12 + 0 3 + -1u = 12 Add '-3' to each side of the equation. 3 + -3 + -1u = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 12 + -3 -1u = 12 + -3 Combine like terms: 12 + -3 = 9 -1u = 9 Divide each side by '-1'. u = -9 Simplifying u = -9
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