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Simplifying 5u + -5(1 + -1u) = u + 8 5u + (1 * -5 + -1u * -5) = u + 8 5u + (-5 + 5u) = u + 8 Reorder the terms: -5 + 5u + 5u = u + 8 Combine like terms: 5u + 5u = 10u -5 + 10u = u + 8 Reorder the terms: -5 + 10u = 8 + u Solving -5 + 10u = 8 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. -5 + 10u + -1u = 8 + u + -1u Combine like terms: 10u + -1u = 9u -5 + 9u = 8 + u + -1u Combine like terms: u + -1u = 0 -5 + 9u = 8 + 0 -5 + 9u = 8 Add '5' to each side of the equation. -5 + 5 + 9u = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 9u = 8 + 5 9u = 8 + 5 Combine like terms: 8 + 5 = 13 9u = 13 Divide each side by '9'. u = 1.444444444 Simplifying u = 1.444444444
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