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Simplifying 5 + 5(2u + -1) = -3(3u + -4) + 5u Reorder the terms: 5 + 5(-1 + 2u) = -3(3u + -4) + 5u 5 + (-1 * 5 + 2u * 5) = -3(3u + -4) + 5u 5 + (-5 + 10u) = -3(3u + -4) + 5u Combine like terms: 5 + -5 = 0 0 + 10u = -3(3u + -4) + 5u 10u = -3(3u + -4) + 5u Reorder the terms: 10u = -3(-4 + 3u) + 5u 10u = (-4 * -3 + 3u * -3) + 5u 10u = (12 + -9u) + 5u Combine like terms: -9u + 5u = -4u 10u = 12 + -4u Solving 10u = 12 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 10u + 4u = 12 + -4u + 4u Combine like terms: 10u + 4u = 14u 14u = 12 + -4u + 4u Combine like terms: -4u + 4u = 0 14u = 12 + 0 14u = 12 Divide each side by '14'. u = 0.8571428571 Simplifying u = 0.8571428571
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