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Simplifying 5u + 5(1 + -2u) = u + 7 5u + (1 * 5 + -2u * 5) = u + 7 5u + (5 + -10u) = u + 7 Reorder the terms: 5 + 5u + -10u = u + 7 Combine like terms: 5u + -10u = -5u 5 + -5u = u + 7 Reorder the terms: 5 + -5u = 7 + u Solving 5 + -5u = 7 + 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. 5 + -5u + -1u = 7 + u + -1u Combine like terms: -5u + -1u = -6u 5 + -6u = 7 + u + -1u Combine like terms: u + -1u = 0 5 + -6u = 7 + 0 5 + -6u = 7 Add '-5' to each side of the equation. 5 + -5 + -6u = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -6u = 7 + -5 -6u = 7 + -5 Combine like terms: 7 + -5 = 2 -6u = 2 Divide each side by '-6'. u = -0.3333333333 Simplifying u = -0.3333333333
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