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Simplifying -2(7u + -6) + 5u = 9 + 3(3u + -1) Reorder the terms: -2(-6 + 7u) + 5u = 9 + 3(3u + -1) (-6 * -2 + 7u * -2) + 5u = 9 + 3(3u + -1) (12 + -14u) + 5u = 9 + 3(3u + -1) Combine like terms: -14u + 5u = -9u 12 + -9u = 9 + 3(3u + -1) Reorder the terms: 12 + -9u = 9 + 3(-1 + 3u) 12 + -9u = 9 + (-1 * 3 + 3u * 3) 12 + -9u = 9 + (-3 + 9u) Combine like terms: 9 + -3 = 6 12 + -9u = 6 + 9u Solving 12 + -9u = 6 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 12 + -9u + -9u = 6 + 9u + -9u Combine like terms: -9u + -9u = -18u 12 + -18u = 6 + 9u + -9u Combine like terms: 9u + -9u = 0 12 + -18u = 6 + 0 12 + -18u = 6 Add '-12' to each side of the equation. 12 + -12 + -18u = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -18u = 6 + -12 -18u = 6 + -12 Combine like terms: 6 + -12 = -6 -18u = -6 Divide each side by '-18'. u = 0.3333333333 Simplifying u = 0.3333333333
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