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Simplifying -2(5u + -4) = 4[3u + -4(-1u + -8)] Reorder the terms: -2(-4 + 5u) = 4[3u + -4(-1u + -8)] (-4 * -2 + 5u * -2) = 4[3u + -4(-1u + -8)] (8 + -10u) = 4[3u + -4(-1u + -8)] Reorder the terms: 8 + -10u = 4[3u + -4(-8 + -1u)] 8 + -10u = 4[3u + (-8 * -4 + -1u * -4)] 8 + -10u = 4[3u + (32 + 4u)] Reorder the terms: 8 + -10u = 4[32 + 3u + 4u] Combine like terms: 3u + 4u = 7u 8 + -10u = 4[32 + 7u] 8 + -10u = [32 * 4 + 7u * 4] 8 + -10u = [128 + 28u] Solving 8 + -10u = 128 + 28u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-28u' to each side of the equation. 8 + -10u + -28u = 128 + 28u + -28u Combine like terms: -10u + -28u = -38u 8 + -38u = 128 + 28u + -28u Combine like terms: 28u + -28u = 0 8 + -38u = 128 + 0 8 + -38u = 128 Add '-8' to each side of the equation. 8 + -8 + -38u = 128 + -8 Combine like terms: 8 + -8 = 0 0 + -38u = 128 + -8 -38u = 128 + -8 Combine like terms: 128 + -8 = 120 -38u = 120 Divide each side by '-38'. u = -3.157894737 Simplifying u = -3.157894737
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