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Simplifying 2u + -4 + 2(5u + 9) = -2(u + 2) Reorder the terms: 2u + -4 + 2(9 + 5u) = -2(u + 2) 2u + -4 + (9 * 2 + 5u * 2) = -2(u + 2) 2u + -4 + (18 + 10u) = -2(u + 2) Reorder the terms: -4 + 18 + 2u + 10u = -2(u + 2) Combine like terms: -4 + 18 = 14 14 + 2u + 10u = -2(u + 2) Combine like terms: 2u + 10u = 12u 14 + 12u = -2(u + 2) Reorder the terms: 14 + 12u = -2(2 + u) 14 + 12u = (2 * -2 + u * -2) 14 + 12u = (-4 + -2u) Solving 14 + 12u = -4 + -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. 14 + 12u + 2u = -4 + -2u + 2u Combine like terms: 12u + 2u = 14u 14 + 14u = -4 + -2u + 2u Combine like terms: -2u + 2u = 0 14 + 14u = -4 + 0 14 + 14u = -4 Add '-14' to each side of the equation. 14 + -14 + 14u = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 14u = -4 + -14 14u = -4 + -14 Combine like terms: -4 + -14 = -18 14u = -18 Divide each side by '14'. u = -1.285714286 Simplifying u = -1.285714286
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