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Simplifying 2(u + 5) + -5(9u + -9) = -160 Reorder the terms: 2(5 + u) + -5(9u + -9) = -160 (5 * 2 + u * 2) + -5(9u + -9) = -160 (10 + 2u) + -5(9u + -9) = -160 Reorder the terms: 10 + 2u + -5(-9 + 9u) = -160 10 + 2u + (-9 * -5 + 9u * -5) = -160 10 + 2u + (45 + -45u) = -160 Reorder the terms: 10 + 45 + 2u + -45u = -160 Combine like terms: 10 + 45 = 55 55 + 2u + -45u = -160 Combine like terms: 2u + -45u = -43u 55 + -43u = -160 Solving 55 + -43u = -160 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -43u = -160 + -55 Combine like terms: 55 + -55 = 0 0 + -43u = -160 + -55 -43u = -160 + -55 Combine like terms: -160 + -55 = -215 -43u = -215 Divide each side by '-43'. u = 5 Simplifying u = 5
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