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Simplifying 8 = 3(u + 6) + -8u Reorder the terms: 8 = 3(6 + u) + -8u 8 = (6 * 3 + u * 3) + -8u 8 = (18 + 3u) + -8u Combine like terms: 3u + -8u = -5u 8 = 18 + -5u Solving 8 = 18 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 8 + 5u = 18 + -5u + 5u Combine like terms: -5u + 5u = 0 8 + 5u = 18 + 0 8 + 5u = 18 Add '-8' to each side of the equation. 8 + -8 + 5u = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 5u = 18 + -8 5u = 18 + -8 Combine like terms: 18 + -8 = 10 5u = 10 Divide each side by '5'. u = 2 Simplifying u = 2
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