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Simplifying 2(3u + 7) = -4(3 + -42u) Reorder the terms: 2(7 + 3u) = -4(3 + -42u) (7 * 2 + 3u * 2) = -4(3 + -42u) (14 + 6u) = -4(3 + -42u) 14 + 6u = (3 * -4 + -42u * -4) 14 + 6u = (-12 + 168u) Solving 14 + 6u = -12 + 168u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-168u' to each side of the equation. 14 + 6u + -168u = -12 + 168u + -168u Combine like terms: 6u + -168u = -162u 14 + -162u = -12 + 168u + -168u Combine like terms: 168u + -168u = 0 14 + -162u = -12 + 0 14 + -162u = -12 Add '-14' to each side of the equation. 14 + -14 + -162u = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -162u = -12 + -14 -162u = -12 + -14 Combine like terms: -12 + -14 = -26 -162u = -26 Divide each side by '-162'. u = 0.1604938272 Simplifying u = 0.1604938272
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