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Simplifying u + -4 + 2(6u + 4) = -2(u + 7) Reorder the terms: u + -4 + 2(4 + 6u) = -2(u + 7) u + -4 + (4 * 2 + 6u * 2) = -2(u + 7) u + -4 + (8 + 12u) = -2(u + 7) Reorder the terms: -4 + 8 + u + 12u = -2(u + 7) Combine like terms: -4 + 8 = 4 4 + u + 12u = -2(u + 7) Combine like terms: u + 12u = 13u 4 + 13u = -2(u + 7) Reorder the terms: 4 + 13u = -2(7 + u) 4 + 13u = (7 * -2 + u * -2) 4 + 13u = (-14 + -2u) Solving 4 + 13u = -14 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 4 + 13u + 2u = -14 + -2u + 2u Combine like terms: 13u + 2u = 15u 4 + 15u = -14 + -2u + 2u Combine like terms: -2u + 2u = 0 4 + 15u = -14 + 0 4 + 15u = -14 Add '-4' to each side of the equation. 4 + -4 + 15u = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 15u = -14 + -4 15u = -14 + -4 Combine like terms: -14 + -4 = -18 15u = -18 Divide each side by '15'. u = -1.2 Simplifying u = -1.2
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