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Simplifying 9 + 3(2u + -3) = -3(6u + -6) + 8u Reorder the terms: 9 + 3(-3 + 2u) = -3(6u + -6) + 8u 9 + (-3 * 3 + 2u * 3) = -3(6u + -6) + 8u 9 + (-9 + 6u) = -3(6u + -6) + 8u Combine like terms: 9 + -9 = 0 0 + 6u = -3(6u + -6) + 8u 6u = -3(6u + -6) + 8u Reorder the terms: 6u = -3(-6 + 6u) + 8u 6u = (-6 * -3 + 6u * -3) + 8u 6u = (18 + -18u) + 8u Combine like terms: -18u + 8u = -10u 6u = 18 + -10u Solving 6u = 18 + -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. 6u + 10u = 18 + -10u + 10u Combine like terms: 6u + 10u = 16u 16u = 18 + -10u + 10u Combine like terms: -10u + 10u = 0 16u = 18 + 0 16u = 18 Divide each side by '16'. u = 1.125 Simplifying u = 1.125
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