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Simplifying 5 + 3(2u + -2) = -3(4u + -3) + 2u Reorder the terms: 5 + 3(-2 + 2u) = -3(4u + -3) + 2u 5 + (-2 * 3 + 2u * 3) = -3(4u + -3) + 2u 5 + (-6 + 6u) = -3(4u + -3) + 2u Combine like terms: 5 + -6 = -1 -1 + 6u = -3(4u + -3) + 2u Reorder the terms: -1 + 6u = -3(-3 + 4u) + 2u -1 + 6u = (-3 * -3 + 4u * -3) + 2u -1 + 6u = (9 + -12u) + 2u Combine like terms: -12u + 2u = -10u -1 + 6u = 9 + -10u Solving -1 + 6u = 9 + -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. -1 + 6u + 10u = 9 + -10u + 10u Combine like terms: 6u + 10u = 16u -1 + 16u = 9 + -10u + 10u Combine like terms: -10u + 10u = 0 -1 + 16u = 9 + 0 -1 + 16u = 9 Add '1' to each side of the equation. -1 + 1 + 16u = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 16u = 9 + 1 16u = 9 + 1 Combine like terms: 9 + 1 = 10 16u = 10 Divide each side by '16'. u = 0.625 Simplifying u = 0.625
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