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Simplifying 52 = u + -19 + 12 + 17 + -5 Reorder the terms: 52 = -19 + 12 + 17 + -5 + u Combine like terms: -19 + 12 = -7 52 = -7 + 17 + -5 + u Combine like terms: -7 + 17 = 10 52 = 10 + -5 + u Combine like terms: 10 + -5 = 5 52 = 5 + u Solving 52 = 5 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 52 + -1u = 5 + u + -1u Combine like terms: u + -1u = 0 52 + -1u = 5 + 0 52 + -1u = 5 Add '-52' to each side of the equation. 52 + -52 + -1u = 5 + -52 Combine like terms: 52 + -52 = 0 0 + -1u = 5 + -52 -1u = 5 + -52 Combine like terms: 5 + -52 = -47 -1u = -47 Divide each side by '-1'. u = 47 Simplifying u = 47
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