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Simplifying 7(u + 1) = 4u + -23 Reorder the terms: 7(1 + u) = 4u + -23 (1 * 7 + u * 7) = 4u + -23 (7 + 7u) = 4u + -23 Reorder the terms: 7 + 7u = -23 + 4u Solving 7 + 7u = -23 + 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 = -23 + 4u + -4u Combine like terms: 7u + -4u = 3u 7 + 3u = -23 + 4u + -4u Combine like terms: 4u + -4u = 0 7 + 3u = -23 + 0 7 + 3u = -23 Add '-7' to each side of the equation. 7 + -7 + 3u = -23 + -7 Combine like terms: 7 + -7 = 0 0 + 3u = -23 + -7 3u = -23 + -7 Combine like terms: -23 + -7 = -30 3u = -30 Divide each side by '3'. u = -10 Simplifying u = -10
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