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Simplifying 9 + 5(2u + -2) = -3(3u + -5) + u Reorder the terms: 9 + 5(-2 + 2u) = -3(3u + -5) + u 9 + (-2 * 5 + 2u * 5) = -3(3u + -5) + u 9 + (-10 + 10u) = -3(3u + -5) + u Combine like terms: 9 + -10 = -1 -1 + 10u = -3(3u + -5) + u Reorder the terms: -1 + 10u = -3(-5 + 3u) + u -1 + 10u = (-5 * -3 + 3u * -3) + u -1 + 10u = (15 + -9u) + u Combine like terms: -9u + u = -8u -1 + 10u = 15 + -8u Solving -1 + 10u = 15 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. -1 + 10u + 8u = 15 + -8u + 8u Combine like terms: 10u + 8u = 18u -1 + 18u = 15 + -8u + 8u Combine like terms: -8u + 8u = 0 -1 + 18u = 15 + 0 -1 + 18u = 15 Add '1' to each side of the equation. -1 + 1 + 18u = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 18u = 15 + 1 18u = 15 + 1 Combine like terms: 15 + 1 = 16 18u = 16 Divide each side by '18'. u = 0.8888888889 Simplifying u = 0.8888888889
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