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Simplifying 3(u + 8) = 9u + 42 Reorder the terms: 3(8 + u) = 9u + 42 (8 * 3 + u * 3) = 9u + 42 (24 + 3u) = 9u + 42 Reorder the terms: 24 + 3u = 42 + 9u Solving 24 + 3u = 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. 24 + 3u + -9u = 42 + 9u + -9u Combine like terms: 3u + -9u = -6u 24 + -6u = 42 + 9u + -9u Combine like terms: 9u + -9u = 0 24 + -6u = 42 + 0 24 + -6u = 42 Add '-24' to each side of the equation. 24 + -24 + -6u = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -6u = 42 + -24 -6u = 42 + -24 Combine like terms: 42 + -24 = 18 -6u = 18 Divide each side by '-6'. u = -3 Simplifying u = -3
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