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Simplifying 5u + 5(1 + -1u) = -3u + 8 5u + (1 * 5 + -1u * 5) = -3u + 8 5u + (5 + -5u) = -3u + 8 Reorder the terms: 5 + 5u + -5u = -3u + 8 Combine like terms: 5u + -5u = 0 5 + 0 = -3u + 8 5 = -3u + 8 Reorder the terms: 5 = 8 + -3u Solving 5 = 8 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 5 + 3u = 8 + -3u + 3u Combine like terms: -3u + 3u = 0 5 + 3u = 8 + 0 5 + 3u = 8 Add '-5' to each side of the equation. 5 + -5 + 3u = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 3u = 8 + -5 3u = 8 + -5 Combine like terms: 8 + -5 = 3 3u = 3 Divide each side by '3'. u = 1 Simplifying u = 1
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