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Simplifying -2(5u + -6) + 4u = 3(u + 9) Reorder the terms: -2(-6 + 5u) + 4u = 3(u + 9) (-6 * -2 + 5u * -2) + 4u = 3(u + 9) (12 + -10u) + 4u = 3(u + 9) Combine like terms: -10u + 4u = -6u 12 + -6u = 3(u + 9) Reorder the terms: 12 + -6u = 3(9 + u) 12 + -6u = (9 * 3 + u * 3) 12 + -6u = (27 + 3u) Solving 12 + -6u = 27 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 12 + -6u + -3u = 27 + 3u + -3u Combine like terms: -6u + -3u = -9u 12 + -9u = 27 + 3u + -3u Combine like terms: 3u + -3u = 0 12 + -9u = 27 + 0 12 + -9u = 27 Add '-12' to each side of the equation. 12 + -12 + -9u = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -9u = 27 + -12 -9u = 27 + -12 Combine like terms: 27 + -12 = 15 -9u = 15 Divide each side by '-9'. u = -1.666666667 Simplifying u = -1.666666667
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