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Simplifying 10 + -2[8 + 2(u + -5)] + -6(3u + -1) = 0 Reorder the terms: 10 + -2[8 + 2(-5 + u)] + -6(3u + -1) = 0 10 + -2[8 + (-5 * 2 + u * 2)] + -6(3u + -1) = 0 10 + -2[8 + (-10 + 2u)] + -6(3u + -1) = 0 Combine like terms: 8 + -10 = -2 10 + -2[-2 + 2u] + -6(3u + -1) = 0 10 + [-2 * -2 + 2u * -2] + -6(3u + -1) = 0 10 + [4 + -4u] + -6(3u + -1) = 0 Reorder the terms: 10 + 4 + -4u + -6(-1 + 3u) = 0 10 + 4 + -4u + (-1 * -6 + 3u * -6) = 0 10 + 4 + -4u + (6 + -18u) = 0 Reorder the terms: 10 + 4 + 6 + -4u + -18u = 0 Combine like terms: 10 + 4 = 14 14 + 6 + -4u + -18u = 0 Combine like terms: 14 + 6 = 20 20 + -4u + -18u = 0 Combine like terms: -4u + -18u = -22u 20 + -22u = 0 Solving 20 + -22u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -22u = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -22u = 0 + -20 -22u = 0 + -20 Combine like terms: 0 + -20 = -20 -22u = -20 Divide each side by '-22'. u = 0.9090909091 Simplifying u = 0.9090909091
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