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Simplifying 7u + 27 = 5(u + 3) Reorder the terms: 27 + 7u = 5(u + 3) Reorder the terms: 27 + 7u = 5(3 + u) 27 + 7u = (3 * 5 + u * 5) 27 + 7u = (15 + 5u) Solving 27 + 7u = 15 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 27 + 7u + -5u = 15 + 5u + -5u Combine like terms: 7u + -5u = 2u 27 + 2u = 15 + 5u + -5u Combine like terms: 5u + -5u = 0 27 + 2u = 15 + 0 27 + 2u = 15 Add '-27' to each side of the equation. 27 + -27 + 2u = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 2u = 15 + -27 2u = 15 + -27 Combine like terms: 15 + -27 = -12 2u = -12 Divide each side by '2'. u = -6 Simplifying u = -6
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