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Simplifying 2(u + 1) = 7u + 27 Reorder the terms: 2(1 + u) = 7u + 27 (1 * 2 + u * 2) = 7u + 27 (2 + 2u) = 7u + 27 Reorder the terms: 2 + 2u = 27 + 7u Solving 2 + 2u = 27 + 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. 2 + 2u + -7u = 27 + 7u + -7u Combine like terms: 2u + -7u = -5u 2 + -5u = 27 + 7u + -7u Combine like terms: 7u + -7u = 0 2 + -5u = 27 + 0 2 + -5u = 27 Add '-2' to each side of the equation. 2 + -2 + -5u = 27 + -2 Combine like terms: 2 + -2 = 0 0 + -5u = 27 + -2 -5u = 27 + -2 Combine like terms: 27 + -2 = 25 -5u = 25 Divide each side by '-5'. u = -5 Simplifying u = -5
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