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Simplifying -39 = 3(u + 2) + -8u Reorder the terms: -39 = 3(2 + u) + -8u -39 = (2 * 3 + u * 3) + -8u -39 = (6 + 3u) + -8u Combine like terms: 3u + -8u = -5u -39 = 6 + -5u Solving -39 = 6 + -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. -39 + 5u = 6 + -5u + 5u Combine like terms: -5u + 5u = 0 -39 + 5u = 6 + 0 -39 + 5u = 6 Add '39' to each side of the equation. -39 + 39 + 5u = 6 + 39 Combine like terms: -39 + 39 = 0 0 + 5u = 6 + 39 5u = 6 + 39 Combine like terms: 6 + 39 = 45 5u = 45 Divide each side by '5'. u = 9 Simplifying u = 9
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