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Simplifying 10 + 2[8 + 8(3u + 4)] + -4(7u + 17) = 0 Reorder the terms: 10 + 2[8 + 8(4 + 3u)] + -4(7u + 17) = 0 10 + 2[8 + (4 * 8 + 3u * 8)] + -4(7u + 17) = 0 10 + 2[8 + (32 + 24u)] + -4(7u + 17) = 0 Combine like terms: 8 + 32 = 40 10 + 2[40 + 24u] + -4(7u + 17) = 0 10 + [40 * 2 + 24u * 2] + -4(7u + 17) = 0 10 + [80 + 48u] + -4(7u + 17) = 0 Reorder the terms: 10 + 80 + 48u + -4(17 + 7u) = 0 10 + 80 + 48u + (17 * -4 + 7u * -4) = 0 10 + 80 + 48u + (-68 + -28u) = 0 Reorder the terms: 10 + 80 + -68 + 48u + -28u = 0 Combine like terms: 10 + 80 = 90 90 + -68 + 48u + -28u = 0 Combine like terms: 90 + -68 = 22 22 + 48u + -28u = 0 Combine like terms: 48u + -28u = 20u 22 + 20u = 0 Solving 22 + 20u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 20u = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 20u = 0 + -22 20u = 0 + -22 Combine like terms: 0 + -22 = -22 20u = -22 Divide each side by '20'. u = -1.1 Simplifying u = -1.1
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