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Simplifying -2(3u + -1) + 9u = -3(u + 4) Reorder the terms: -2(-1 + 3u) + 9u = -3(u + 4) (-1 * -2 + 3u * -2) + 9u = -3(u + 4) (2 + -6u) + 9u = -3(u + 4) Combine like terms: -6u + 9u = 3u 2 + 3u = -3(u + 4) Reorder the terms: 2 + 3u = -3(4 + u) 2 + 3u = (4 * -3 + u * -3) 2 + 3u = (-12 + -3u) Solving 2 + 3u = -12 + -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. 2 + 3u + 3u = -12 + -3u + 3u Combine like terms: 3u + 3u = 6u 2 + 6u = -12 + -3u + 3u Combine like terms: -3u + 3u = 0 2 + 6u = -12 + 0 2 + 6u = -12 Add '-2' to each side of the equation. 2 + -2 + 6u = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 6u = -12 + -2 6u = -12 + -2 Combine like terms: -12 + -2 = -14 6u = -14 Divide each side by '6'. u = -2.333333333 Simplifying u = -2.333333333
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