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Simplifying 3(u + 4) = -3u + 42 Reorder the terms: 3(4 + u) = -3u + 42 (4 * 3 + u * 3) = -3u + 42 (12 + 3u) = -3u + 42 Reorder the terms: 12 + 3u = 42 + -3u Solving 12 + 3u = 42 + -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 + 3u + 3u = 42 + -3u + 3u Combine like terms: 3u + 3u = 6u 12 + 6u = 42 + -3u + 3u Combine like terms: -3u + 3u = 0 12 + 6u = 42 + 0 12 + 6u = 42 Add '-12' to each side of the equation. 12 + -12 + 6u = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6u = 42 + -12 6u = 42 + -12 Combine like terms: 42 + -12 = 30 6u = 30 Divide each side by '6'. u = 5 Simplifying u = 5
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