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Simplifying 9 + 2(5u + -6) = -3(3u + -5) + 3u Reorder the terms: 9 + 2(-6 + 5u) = -3(3u + -5) + 3u 9 + (-6 * 2 + 5u * 2) = -3(3u + -5) + 3u 9 + (-12 + 10u) = -3(3u + -5) + 3u Combine like terms: 9 + -12 = -3 -3 + 10u = -3(3u + -5) + 3u Reorder the terms: -3 + 10u = -3(-5 + 3u) + 3u -3 + 10u = (-5 * -3 + 3u * -3) + 3u -3 + 10u = (15 + -9u) + 3u Combine like terms: -9u + 3u = -6u -3 + 10u = 15 + -6u Solving -3 + 10u = 15 + -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. -3 + 10u + 6u = 15 + -6u + 6u Combine like terms: 10u + 6u = 16u -3 + 16u = 15 + -6u + 6u Combine like terms: -6u + 6u = 0 -3 + 16u = 15 + 0 -3 + 16u = 15 Add '3' to each side of the equation. -3 + 3 + 16u = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 16u = 15 + 3 16u = 15 + 3 Combine like terms: 15 + 3 = 18 16u = 18 Divide each side by '16'. u = 1.125 Simplifying u = 1.125
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