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Simplifying 5(u + 6) = 3u + 42 Reorder the terms: 5(6 + u) = 3u + 42 (6 * 5 + u * 5) = 3u + 42 (30 + 5u) = 3u + 42 Reorder the terms: 30 + 5u = 42 + 3u Solving 30 + 5u = 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. 30 + 5u + -3u = 42 + 3u + -3u Combine like terms: 5u + -3u = 2u 30 + 2u = 42 + 3u + -3u Combine like terms: 3u + -3u = 0 30 + 2u = 42 + 0 30 + 2u = 42 Add '-30' to each side of the equation. 30 + -30 + 2u = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 2u = 42 + -30 2u = 42 + -30 Combine like terms: 42 + -30 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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