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Simplifying 9 + -5(u + -2) = 3(2u + -1) Reorder the terms: 9 + -5(-2 + u) = 3(2u + -1) 9 + (-2 * -5 + u * -5) = 3(2u + -1) 9 + (10 + -5u) = 3(2u + -1) Combine like terms: 9 + 10 = 19 19 + -5u = 3(2u + -1) Reorder the terms: 19 + -5u = 3(-1 + 2u) 19 + -5u = (-1 * 3 + 2u * 3) 19 + -5u = (-3 + 6u) Solving 19 + -5u = -3 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 19 + -5u + -6u = -3 + 6u + -6u Combine like terms: -5u + -6u = -11u 19 + -11u = -3 + 6u + -6u Combine like terms: 6u + -6u = 0 19 + -11u = -3 + 0 19 + -11u = -3 Add '-19' to each side of the equation. 19 + -19 + -11u = -3 + -19 Combine like terms: 19 + -19 = 0 0 + -11u = -3 + -19 -11u = -3 + -19 Combine like terms: -3 + -19 = -22 -11u = -22 Divide each side by '-11'. u = 2 Simplifying u = 2
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