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Simplifying 2(3u + 7) = -4(3 + -2u) Reorder the terms: 2(7 + 3u) = -4(3 + -2u) (7 * 2 + 3u * 2) = -4(3 + -2u) (14 + 6u) = -4(3 + -2u) 14 + 6u = (3 * -4 + -2u * -4) 14 + 6u = (-12 + 8u) Solving 14 + 6u = -12 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 14 + 6u + -8u = -12 + 8u + -8u Combine like terms: 6u + -8u = -2u 14 + -2u = -12 + 8u + -8u Combine like terms: 8u + -8u = 0 14 + -2u = -12 + 0 14 + -2u = -12 Add '-14' to each side of the equation. 14 + -14 + -2u = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2u = -12 + -14 -2u = -12 + -14 Combine like terms: -12 + -14 = -26 -2u = -26 Divide each side by '-2'. u = 13 Simplifying u = 13
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