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Simplifying u + 74 = 30u + -100 Reorder the terms: 74 + u = 30u + -100 Reorder the terms: 74 + u = -100 + 30u Solving 74 + u = -100 + 30u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-30u' to each side of the equation. 74 + u + -30u = -100 + 30u + -30u Combine like terms: u + -30u = -29u 74 + -29u = -100 + 30u + -30u Combine like terms: 30u + -30u = 0 74 + -29u = -100 + 0 74 + -29u = -100 Add '-74' to each side of the equation. 74 + -74 + -29u = -100 + -74 Combine like terms: 74 + -74 = 0 0 + -29u = -100 + -74 -29u = -100 + -74 Combine like terms: -100 + -74 = -174 -29u = -174 Divide each side by '-29'. u = 6 Simplifying u = 6
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