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Simplifying 6(u + 7) = 3u + 15 Reorder the terms: 6(7 + u) = 3u + 15 (7 * 6 + u * 6) = 3u + 15 (42 + 6u) = 3u + 15 Reorder the terms: 42 + 6u = 15 + 3u Solving 42 + 6u = 15 + 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. 42 + 6u + -3u = 15 + 3u + -3u Combine like terms: 6u + -3u = 3u 42 + 3u = 15 + 3u + -3u Combine like terms: 3u + -3u = 0 42 + 3u = 15 + 0 42 + 3u = 15 Add '-42' to each side of the equation. 42 + -42 + 3u = 15 + -42 Combine like terms: 42 + -42 = 0 0 + 3u = 15 + -42 3u = 15 + -42 Combine like terms: 15 + -42 = -27 3u = -27 Divide each side by '3'. u = -9 Simplifying u = -9
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