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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 = 0 5 + 0 = u + 8 5 = u + 8 Reorder the terms: 5 = 8 + u Solving 5 = 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 + -1u = 8 + u + -1u Combine like terms: u + -1u = 0 5 + -1u = 8 + 0 5 + -1u = 8 Add '-5' to each side of the equation. 5 + -5 + -1u = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 8 + -5 -1u = 8 + -5 Combine like terms: 8 + -5 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3
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