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Simplifying 8 + 2(4u + -3) = -6(3u + -1) + 8u Reorder the terms: 8 + 2(-3 + 4u) = -6(3u + -1) + 8u 8 + (-3 * 2 + 4u * 2) = -6(3u + -1) + 8u 8 + (-6 + 8u) = -6(3u + -1) + 8u Combine like terms: 8 + -6 = 2 2 + 8u = -6(3u + -1) + 8u Reorder the terms: 2 + 8u = -6(-1 + 3u) + 8u 2 + 8u = (-1 * -6 + 3u * -6) + 8u 2 + 8u = (6 + -18u) + 8u Combine like terms: -18u + 8u = -10u 2 + 8u = 6 + -10u Solving 2 + 8u = 6 + -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. 2 + 8u + 10u = 6 + -10u + 10u Combine like terms: 8u + 10u = 18u 2 + 18u = 6 + -10u + 10u Combine like terms: -10u + 10u = 0 2 + 18u = 6 + 0 2 + 18u = 6 Add '-2' to each side of the equation. 2 + -2 + 18u = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 18u = 6 + -2 18u = 6 + -2 Combine like terms: 6 + -2 = 4 18u = 4 Divide each side by '18'. u = 0.2222222222 Simplifying u = 0.2222222222
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