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Simplifying 27 = -7u + 4(u + 3) Reorder the terms: 27 = -7u + 4(3 + u) 27 = -7u + (3 * 4 + u * 4) 27 = -7u + (12 + 4u) Reorder the terms: 27 = 12 + -7u + 4u Combine like terms: -7u + 4u = -3u 27 = 12 + -3u Solving 27 = 12 + -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. 27 + 3u = 12 + -3u + 3u Combine like terms: -3u + 3u = 0 27 + 3u = 12 + 0 27 + 3u = 12 Add '-27' to each side of the equation. 27 + -27 + 3u = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 3u = 12 + -27 3u = 12 + -27 Combine like terms: 12 + -27 = -15 3u = -15 Divide each side by '3'. u = -5 Simplifying u = -5
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