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Simplifying 5(u + -2) + 7(3 + -1u) = 9u Reorder the terms: 5(-2 + u) + 7(3 + -1u) = 9u (-2 * 5 + u * 5) + 7(3 + -1u) = 9u (-10 + 5u) + 7(3 + -1u) = 9u -10 + 5u + (3 * 7 + -1u * 7) = 9u -10 + 5u + (21 + -7u) = 9u Reorder the terms: -10 + 21 + 5u + -7u = 9u Combine like terms: -10 + 21 = 11 11 + 5u + -7u = 9u Combine like terms: 5u + -7u = -2u 11 + -2u = 9u Solving 11 + -2u = 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 11 + -2u + -9u = 9u + -9u Combine like terms: -2u + -9u = -11u 11 + -11u = 9u + -9u Combine like terms: 9u + -9u = 0 11 + -11u = 0 Add '-11' to each side of the equation. 11 + -11 + -11u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -11u = 0 + -11 -11u = 0 + -11 Combine like terms: 0 + -11 = -11 -11u = -11 Divide each side by '-11'. u = 1 Simplifying u = 1
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