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Simplifying 6u + 27 = -3(u + -3) Reorder the terms: 27 + 6u = -3(u + -3) Reorder the terms: 27 + 6u = -3(-3 + u) 27 + 6u = (-3 * -3 + u * -3) 27 + 6u = (9 + -3u) Solving 27 + 6u = 9 + -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 + 6u + 3u = 9 + -3u + 3u Combine like terms: 6u + 3u = 9u 27 + 9u = 9 + -3u + 3u Combine like terms: -3u + 3u = 0 27 + 9u = 9 + 0 27 + 9u = 9 Add '-27' to each side of the equation. 27 + -27 + 9u = 9 + -27 Combine like terms: 27 + -27 = 0 0 + 9u = 9 + -27 9u = 9 + -27 Combine like terms: 9 + -27 = -18 9u = -18 Divide each side by '9'. u = -2 Simplifying u = -2
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