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Simplifying 8 = 3(u + 2) + -5u Reorder the terms: 8 = 3(2 + u) + -5u 8 = (2 * 3 + u * 3) + -5u 8 = (6 + 3u) + -5u Combine like terms: 3u + -5u = -2u 8 = 6 + -2u Solving 8 = 6 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 8 + 2u = 6 + -2u + 2u Combine like terms: -2u + 2u = 0 8 + 2u = 6 + 0 8 + 2u = 6 Add '-8' to each side of the equation. 8 + -8 + 2u = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2u = 6 + -8 2u = 6 + -8 Combine like terms: 6 + -8 = -2 2u = -2 Divide each side by '2'. u = -1 Simplifying u = -1
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