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Simplifying -4(3u + -1) + 7(2 + -3u) = 0 Reorder the terms: -4(-1 + 3u) + 7(2 + -3u) = 0 (-1 * -4 + 3u * -4) + 7(2 + -3u) = 0 (4 + -12u) + 7(2 + -3u) = 0 4 + -12u + (2 * 7 + -3u * 7) = 0 4 + -12u + (14 + -21u) = 0 Reorder the terms: 4 + 14 + -12u + -21u = 0 Combine like terms: 4 + 14 = 18 18 + -12u + -21u = 0 Combine like terms: -12u + -21u = -33u 18 + -33u = 0 Solving 18 + -33u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -33u = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -33u = 0 + -18 -33u = 0 + -18 Combine like terms: 0 + -18 = -18 -33u = -18 Divide each side by '-33'. u = 0.5454545455 Simplifying u = 0.5454545455
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