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Simplifying 6(u + 2) = 3u + -12 Reorder the terms: 6(2 + u) = 3u + -12 (2 * 6 + u * 6) = 3u + -12 (12 + 6u) = 3u + -12 Reorder the terms: 12 + 6u = -12 + 3u Solving 12 + 6u = -12 + 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. 12 + 6u + -3u = -12 + 3u + -3u Combine like terms: 6u + -3u = 3u 12 + 3u = -12 + 3u + -3u Combine like terms: 3u + -3u = 0 12 + 3u = -12 + 0 12 + 3u = -12 Add '-12' to each side of the equation. 12 + -12 + 3u = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3u = -12 + -12 3u = -12 + -12 Combine like terms: -12 + -12 = -24 3u = -24 Divide each side by '3'. u = -8 Simplifying u = -8
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