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Simplifying 2(3u + 7) = -4(3 + -3u) Reorder the terms: 2(7 + 3u) = -4(3 + -3u) (7 * 2 + 3u * 2) = -4(3 + -3u) (14 + 6u) = -4(3 + -3u) 14 + 6u = (3 * -4 + -3u * -4) 14 + 6u = (-12 + 12u) Solving 14 + 6u = -12 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 14 + 6u + -12u = -12 + 12u + -12u Combine like terms: 6u + -12u = -6u 14 + -6u = -12 + 12u + -12u Combine like terms: 12u + -12u = 0 14 + -6u = -12 + 0 14 + -6u = -12 Add '-14' to each side of the equation. 14 + -14 + -6u = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -6u = -12 + -14 -6u = -12 + -14 Combine like terms: -12 + -14 = -26 -6u = -26 Divide each side by '-6'. u = 4.333333333 Simplifying u = 4.333333333
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