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Simplifying 82 = 4u + 42 + 6u Reorder the terms: 82 = 42 + 4u + 6u Combine like terms: 4u + 6u = 10u 82 = 42 + 10u Solving 82 = 42 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. 82 + -10u = 42 + 10u + -10u Combine like terms: 10u + -10u = 0 82 + -10u = 42 + 0 82 + -10u = 42 Add '-82' to each side of the equation. 82 + -82 + -10u = 42 + -82 Combine like terms: 82 + -82 = 0 0 + -10u = 42 + -82 -10u = 42 + -82 Combine like terms: 42 + -82 = -40 -10u = -40 Divide each side by '-10'. u = 4 Simplifying u = 4
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