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Simplifying 9(u + 1) = 7u + 13 Reorder the terms: 9(1 + u) = 7u + 13 (1 * 9 + u * 9) = 7u + 13 (9 + 9u) = 7u + 13 Reorder the terms: 9 + 9u = 13 + 7u Solving 9 + 9u = 13 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 9 + 9u + -7u = 13 + 7u + -7u Combine like terms: 9u + -7u = 2u 9 + 2u = 13 + 7u + -7u Combine like terms: 7u + -7u = 0 9 + 2u = 13 + 0 9 + 2u = 13 Add '-9' to each side of the equation. 9 + -9 + 2u = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 2u = 13 + -9 2u = 13 + -9 Combine like terms: 13 + -9 = 4 2u = 4 Divide each side by '2'. u = 2 Simplifying u = 2
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