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Simplifying -31 = 3u + 9 + -8u Reorder the terms: -31 = 9 + 3u + -8u Combine like terms: 3u + -8u = -5u -31 = 9 + -5u Solving -31 = 9 + -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. -31 + 5u = 9 + -5u + 5u Combine like terms: -5u + 5u = 0 -31 + 5u = 9 + 0 -31 + 5u = 9 Add '31' to each side of the equation. -31 + 31 + 5u = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 5u = 9 + 31 5u = 9 + 31 Combine like terms: 9 + 31 = 40 5u = 40 Divide each side by '5'. u = 8 Simplifying u = 8
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