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Simplifying 7(u + 1) = 4u + 13 Reorder the terms: 7(1 + u) = 4u + 13 (1 * 7 + u * 7) = 4u + 13 (7 + 7u) = 4u + 13 Reorder the terms: 7 + 7u = 13 + 4u Solving 7 + 7u = 13 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 7 + 7u + -4u = 13 + 4u + -4u Combine like terms: 7u + -4u = 3u 7 + 3u = 13 + 4u + -4u Combine like terms: 4u + -4u = 0 7 + 3u = 13 + 0 7 + 3u = 13 Add '-7' to each side of the equation. 7 + -7 + 3u = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3u = 13 + -7 3u = 13 + -7 Combine like terms: 13 + -7 = 6 3u = 6 Divide each side by '3'. u = 2 Simplifying u = 2
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