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Simplifying 3(u + 9) = -4(3u + -6) + 6u Reorder the terms: 3(9 + u) = -4(3u + -6) + 6u (9 * 3 + u * 3) = -4(3u + -6) + 6u (27 + 3u) = -4(3u + -6) + 6u Reorder the terms: 27 + 3u = -4(-6 + 3u) + 6u 27 + 3u = (-6 * -4 + 3u * -4) + 6u 27 + 3u = (24 + -12u) + 6u Combine like terms: -12u + 6u = -6u 27 + 3u = 24 + -6u Solving 27 + 3u = 24 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 27 + 3u + 6u = 24 + -6u + 6u Combine like terms: 3u + 6u = 9u 27 + 9u = 24 + -6u + 6u Combine like terms: -6u + 6u = 0 27 + 9u = 24 + 0 27 + 9u = 24 Add '-27' to each side of the equation. 27 + -27 + 9u = 24 + -27 Combine like terms: 27 + -27 = 0 0 + 9u = 24 + -27 9u = 24 + -27 Combine like terms: 24 + -27 = -3 9u = -3 Divide each side by '9'. u = -0.3333333333 Simplifying u = -0.3333333333
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