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Simplifying 45 + 4u = 7u + -31 Reorder the terms: 45 + 4u = -31 + 7u Solving 45 + 4u = -31 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 45 + 4u + -7u = -31 + 7u + -7u Combine like terms: 4u + -7u = -3u 45 + -3u = -31 + 7u + -7u Combine like terms: 7u + -7u = 0 45 + -3u = -31 + 0 45 + -3u = -31 Add '-45' to each side of the equation. 45 + -45 + -3u = -31 + -45 Combine like terms: 45 + -45 = 0 0 + -3u = -31 + -45 -3u = -31 + -45 Combine like terms: -31 + -45 = -76 -3u = -76 Divide each side by '-3'. u = 25.33333333 Simplifying u = 25.33333333
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