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Simplifying 31(u + 2) + 52 = 579 Reorder the terms: 31(2 + u) + 52 = 579 (2 * 31 + u * 31) + 52 = 579 (62 + 31u) + 52 = 579 Reorder the terms: 62 + 52 + 31u = 579 Combine like terms: 62 + 52 = 114 114 + 31u = 579 Solving 114 + 31u = 579 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + 31u = 579 + -114 Combine like terms: 114 + -114 = 0 0 + 31u = 579 + -114 31u = 579 + -114 Combine like terms: 579 + -114 = 465 31u = 465 Divide each side by '31'. u = 15 Simplifying u = 15
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