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Simplifying 2(19u + 17) = -19 + -5(-11u + 20) Reorder the terms: 2(17 + 19u) = -19 + -5(-11u + 20) (17 * 2 + 19u * 2) = -19 + -5(-11u + 20) (34 + 38u) = -19 + -5(-11u + 20) Reorder the terms: 34 + 38u = -19 + -5(20 + -11u) 34 + 38u = -19 + (20 * -5 + -11u * -5) 34 + 38u = -19 + (-100 + 55u) Combine like terms: -19 + -100 = -119 34 + 38u = -119 + 55u Solving 34 + 38u = -119 + 55u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-55u' to each side of the equation. 34 + 38u + -55u = -119 + 55u + -55u Combine like terms: 38u + -55u = -17u 34 + -17u = -119 + 55u + -55u Combine like terms: 55u + -55u = 0 34 + -17u = -119 + 0 34 + -17u = -119 Add '-34' to each side of the equation. 34 + -34 + -17u = -119 + -34 Combine like terms: 34 + -34 = 0 0 + -17u = -119 + -34 -17u = -119 + -34 Combine like terms: -119 + -34 = -153 -17u = -153 Divide each side by '-17'. u = 9 Simplifying u = 9
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