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Simplifying 7u + 27 = 9(u + 1) Reorder the terms: 27 + 7u = 9(u + 1) Reorder the terms: 27 + 7u = 9(1 + u) 27 + 7u = (1 * 9 + u * 9) 27 + 7u = (9 + 9u) Solving 27 + 7u = 9 + 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. 27 + 7u + -9u = 9 + 9u + -9u Combine like terms: 7u + -9u = -2u 27 + -2u = 9 + 9u + -9u Combine like terms: 9u + -9u = 0 27 + -2u = 9 + 0 27 + -2u = 9 Add '-27' to each side of the equation. 27 + -27 + -2u = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -2u = 9 + -27 -2u = 9 + -27 Combine like terms: 9 + -27 = -18 -2u = -18 Divide each side by '-2'. u = 9 Simplifying u = 9
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