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Simplifying 5(2u + -3) + -2(4u + 5) = 9 Reorder the terms: 5(-3 + 2u) + -2(4u + 5) = 9 (-3 * 5 + 2u * 5) + -2(4u + 5) = 9 (-15 + 10u) + -2(4u + 5) = 9 Reorder the terms: -15 + 10u + -2(5 + 4u) = 9 -15 + 10u + (5 * -2 + 4u * -2) = 9 -15 + 10u + (-10 + -8u) = 9 Reorder the terms: -15 + -10 + 10u + -8u = 9 Combine like terms: -15 + -10 = -25 -25 + 10u + -8u = 9 Combine like terms: 10u + -8u = 2u -25 + 2u = 9 Solving -25 + 2u = 9 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 2u = 9 + 25 Combine like terms: -25 + 25 = 0 0 + 2u = 9 + 25 2u = 9 + 25 Combine like terms: 9 + 25 = 34 2u = 34 Divide each side by '2'. u = 17 Simplifying u = 17
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