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Simplifying 7(u + 1) = 9u + 21 Reorder the terms: 7(1 + u) = 9u + 21 (1 * 7 + u * 7) = 9u + 21 (7 + 7u) = 9u + 21 Reorder the terms: 7 + 7u = 21 + 9u Solving 7 + 7u = 21 + 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. 7 + 7u + -9u = 21 + 9u + -9u Combine like terms: 7u + -9u = -2u 7 + -2u = 21 + 9u + -9u Combine like terms: 9u + -9u = 0 7 + -2u = 21 + 0 7 + -2u = 21 Add '-7' to each side of the equation. 7 + -7 + -2u = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -2u = 21 + -7 -2u = 21 + -7 Combine like terms: 21 + -7 = 14 -2u = 14 Divide each side by '-2'. u = -7 Simplifying u = -7
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