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Simplifying -9u + 21 = -3(u + 9) Reorder the terms: 21 + -9u = -3(u + 9) Reorder the terms: 21 + -9u = -3(9 + u) 21 + -9u = (9 * -3 + u * -3) 21 + -9u = (-27 + -3u) Solving 21 + -9u = -27 + -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. 21 + -9u + 3u = -27 + -3u + 3u Combine like terms: -9u + 3u = -6u 21 + -6u = -27 + -3u + 3u Combine like terms: -3u + 3u = 0 21 + -6u = -27 + 0 21 + -6u = -27 Add '-21' to each side of the equation. 21 + -21 + -6u = -27 + -21 Combine like terms: 21 + -21 = 0 0 + -6u = -27 + -21 -6u = -27 + -21 Combine like terms: -27 + -21 = -48 -6u = -48 Divide each side by '-6'. u = 8 Simplifying u = 8
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