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Simplifying 4 + 2(5u + -3) = -2(6u + -4) + 6u Reorder the terms: 4 + 2(-3 + 5u) = -2(6u + -4) + 6u 4 + (-3 * 2 + 5u * 2) = -2(6u + -4) + 6u 4 + (-6 + 10u) = -2(6u + -4) + 6u Combine like terms: 4 + -6 = -2 -2 + 10u = -2(6u + -4) + 6u Reorder the terms: -2 + 10u = -2(-4 + 6u) + 6u -2 + 10u = (-4 * -2 + 6u * -2) + 6u -2 + 10u = (8 + -12u) + 6u Combine like terms: -12u + 6u = -6u -2 + 10u = 8 + -6u Solving -2 + 10u = 8 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -2 + 10u + 6u = 8 + -6u + 6u Combine like terms: 10u + 6u = 16u -2 + 16u = 8 + -6u + 6u Combine like terms: -6u + 6u = 0 -2 + 16u = 8 + 0 -2 + 16u = 8 Add '2' to each side of the equation. -2 + 2 + 16u = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 16u = 8 + 2 16u = 8 + 2 Combine like terms: 8 + 2 = 10 16u = 10 Divide each side by '16'. u = 0.625 Simplifying u = 0.625
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