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Simplifying 6(u + 6) = -3(3u + -9) + 3u Reorder the terms: 6(6 + u) = -3(3u + -9) + 3u (6 * 6 + u * 6) = -3(3u + -9) + 3u (36 + 6u) = -3(3u + -9) + 3u Reorder the terms: 36 + 6u = -3(-9 + 3u) + 3u 36 + 6u = (-9 * -3 + 3u * -3) + 3u 36 + 6u = (27 + -9u) + 3u Combine like terms: -9u + 3u = -6u 36 + 6u = 27 + -6u Solving 36 + 6u = 27 + -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. 36 + 6u + 6u = 27 + -6u + 6u Combine like terms: 6u + 6u = 12u 36 + 12u = 27 + -6u + 6u Combine like terms: -6u + 6u = 0 36 + 12u = 27 + 0 36 + 12u = 27 Add '-36' to each side of the equation. 36 + -36 + 12u = 27 + -36 Combine like terms: 36 + -36 = 0 0 + 12u = 27 + -36 12u = 27 + -36 Combine like terms: 27 + -36 = -9 12u = -9 Divide each side by '12'. u = -0.75 Simplifying u = -0.75
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