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Simplifying 1 = -7u + 4(u + 7) Reorder the terms: 1 = -7u + 4(7 + u) 1 = -7u + (7 * 4 + u * 4) 1 = -7u + (28 + 4u) Reorder the terms: 1 = 28 + -7u + 4u Combine like terms: -7u + 4u = -3u 1 = 28 + -3u Solving 1 = 28 + -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. 1 + 3u = 28 + -3u + 3u Combine like terms: -3u + 3u = 0 1 + 3u = 28 + 0 1 + 3u = 28 Add '-1' to each side of the equation. 1 + -1 + 3u = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 3u = 28 + -1 3u = 28 + -1 Combine like terms: 28 + -1 = 27 3u = 27 Divide each side by '3'. u = 9 Simplifying u = 9
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