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Simplifying 2u + 5(u + 6) = 12 Reorder the terms: 2u + 5(6 + u) = 12 2u + (6 * 5 + u * 5) = 12 2u + (30 + 5u) = 12 Reorder the terms: 30 + 2u + 5u = 12 Combine like terms: 2u + 5u = 7u 30 + 7u = 12 Solving 30 + 7u = 12 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7u = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 7u = 12 + -30 7u = 12 + -30 Combine like terms: 12 + -30 = -18 7u = -18 Divide each side by '7'. u = -2.571428571 Simplifying u = -2.571428571
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