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Simplifying 5(2u + -3) + 3(2u + 1) = 0 Reorder the terms: 5(-3 + 2u) + 3(2u + 1) = 0 (-3 * 5 + 2u * 5) + 3(2u + 1) = 0 (-15 + 10u) + 3(2u + 1) = 0 Reorder the terms: -15 + 10u + 3(1 + 2u) = 0 -15 + 10u + (1 * 3 + 2u * 3) = 0 -15 + 10u + (3 + 6u) = 0 Reorder the terms: -15 + 3 + 10u + 6u = 0 Combine like terms: -15 + 3 = -12 -12 + 10u + 6u = 0 Combine like terms: 10u + 6u = 16u -12 + 16u = 0 Solving -12 + 16u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 16u = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 16u = 0 + 12 16u = 0 + 12 Combine like terms: 0 + 12 = 12 16u = 12 Divide each side by '16'. u = 0.75 Simplifying u = 0.75
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