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Simplifying 2(2u + 7) = -4(3 + -2u) Reorder the terms: 2(7 + 2u) = -4(3 + -2u) (7 * 2 + 2u * 2) = -4(3 + -2u) (14 + 4u) = -4(3 + -2u) 14 + 4u = (3 * -4 + -2u * -4) 14 + 4u = (-12 + 8u) Solving 14 + 4u = -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 + 4u + -8u = -12 + 8u + -8u Combine like terms: 4u + -8u = -4u 14 + -4u = -12 + 8u + -8u Combine like terms: 8u + -8u = 0 14 + -4u = -12 + 0 14 + -4u = -12 Add '-14' to each side of the equation. 14 + -14 + -4u = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -4u = -12 + -14 -4u = -12 + -14 Combine like terms: -12 + -14 = -26 -4u = -26 Divide each side by '-4'. u = 6.5 Simplifying u = 6.5
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