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