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Simplifying 7u + -23 = 4(u + 1) Reorder the terms: -23 + 7u = 4(u + 1) Reorder the terms: -23 + 7u = 4(1 + u) -23 + 7u = (1 * 4 + u * 4) -23 + 7u = (4 + 4u) Solving -23 + 7u = 4 + 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. -23 + 7u + -4u = 4 + 4u + -4u Combine like terms: 7u + -4u = 3u -23 + 3u = 4 + 4u + -4u Combine like terms: 4u + -4u = 0 -23 + 3u = 4 + 0 -23 + 3u = 4 Add '23' to each side of the equation. -23 + 23 + 3u = 4 + 23 Combine like terms: -23 + 23 = 0 0 + 3u = 4 + 23 3u = 4 + 23 Combine like terms: 4 + 23 = 27 3u = 27 Divide each side by '3'. u = 9 Simplifying u = 9
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