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Simplifying 6(u + 3) = 9u + 42 Reorder the terms: 6(3 + u) = 9u + 42 (3 * 6 + u * 6) = 9u + 42 (18 + 6u) = 9u + 42 Reorder the terms: 18 + 6u = 42 + 9u Solving 18 + 6u = 42 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 18 + 6u + -9u = 42 + 9u + -9u Combine like terms: 6u + -9u = -3u 18 + -3u = 42 + 9u + -9u Combine like terms: 9u + -9u = 0 18 + -3u = 42 + 0 18 + -3u = 42 Add '-18' to each side of the equation. 18 + -18 + -3u = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -3u = 42 + -18 -3u = 42 + -18 Combine like terms: 42 + -18 = 24 -3u = 24 Divide each side by '-3'. u = -8 Simplifying u = -8
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