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Simplifying 3(u + 9) = -2(6u + -6) + 9u Reorder the terms: 3(9 + u) = -2(6u + -6) + 9u (9 * 3 + u * 3) = -2(6u + -6) + 9u (27 + 3u) = -2(6u + -6) + 9u Reorder the terms: 27 + 3u = -2(-6 + 6u) + 9u 27 + 3u = (-6 * -2 + 6u * -2) + 9u 27 + 3u = (12 + -12u) + 9u Combine like terms: -12u + 9u = -3u 27 + 3u = 12 + -3u Solving 27 + 3u = 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 + 3u = 12 + -3u + 3u Combine like terms: 3u + 3u = 6u 27 + 6u = 12 + -3u + 3u Combine like terms: -3u + 3u = 0 27 + 6u = 12 + 0 27 + 6u = 12 Add '-27' to each side of the equation. 27 + -27 + 6u = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 6u = 12 + -27 6u = 12 + -27 Combine like terms: 12 + -27 = -15 6u = -15 Divide each side by '6'. u = -2.5 Simplifying u = -2.5
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