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Simplifying 4(u + 1) = -2(3u + -3) + 2u Reorder the terms: 4(1 + u) = -2(3u + -3) + 2u (1 * 4 + u * 4) = -2(3u + -3) + 2u (4 + 4u) = -2(3u + -3) + 2u Reorder the terms: 4 + 4u = -2(-3 + 3u) + 2u 4 + 4u = (-3 * -2 + 3u * -2) + 2u 4 + 4u = (6 + -6u) + 2u Combine like terms: -6u + 2u = -4u 4 + 4u = 6 + -4u Solving 4 + 4u = 6 + -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. 4 + 4u + 4u = 6 + -4u + 4u Combine like terms: 4u + 4u = 8u 4 + 8u = 6 + -4u + 4u Combine like terms: -4u + 4u = 0 4 + 8u = 6 + 0 4 + 8u = 6 Add '-4' to each side of the equation. 4 + -4 + 8u = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 8u = 6 + -4 8u = 6 + -4 Combine like terms: 6 + -4 = 2 8u = 2 Divide each side by '8'. u = 0.25 Simplifying u = 0.25
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