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Simplifying 6(u + 3) = 3u + 12 Reorder the terms: 6(3 + u) = 3u + 12 (3 * 6 + u * 6) = 3u + 12 (18 + 6u) = 3u + 12 Reorder the terms: 18 + 6u = 12 + 3u Solving 18 + 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. 18 + 6u + -3u = 12 + 3u + -3u Combine like terms: 6u + -3u = 3u 18 + 3u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 18 + 3u = 12 + 0 18 + 3u = 12 Add '-18' to each side of the equation. 18 + -18 + 3u = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 3u = 12 + -18 3u = 12 + -18 Combine like terms: 12 + -18 = -6 3u = -6 Divide each side by '3'. u = -2 Simplifying u = -2
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