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Simplifying 7(u + 7) = 3u + 29 Reorder the terms: 7(7 + u) = 3u + 29 (7 * 7 + u * 7) = 3u + 29 (49 + 7u) = 3u + 29 Reorder the terms: 49 + 7u = 29 + 3u Solving 49 + 7u = 29 + 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. 49 + 7u + -3u = 29 + 3u + -3u Combine like terms: 7u + -3u = 4u 49 + 4u = 29 + 3u + -3u Combine like terms: 3u + -3u = 0 49 + 4u = 29 + 0 49 + 4u = 29 Add '-49' to each side of the equation. 49 + -49 + 4u = 29 + -49 Combine like terms: 49 + -49 = 0 0 + 4u = 29 + -49 4u = 29 + -49 Combine like terms: 29 + -49 = -20 4u = -20 Divide each side by '4'. u = -5 Simplifying u = -5
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