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Simplifying 9u + 12 = 7(u + 2) Reorder the terms: 12 + 9u = 7(u + 2) Reorder the terms: 12 + 9u = 7(2 + u) 12 + 9u = (2 * 7 + u * 7) 12 + 9u = (14 + 7u) Solving 12 + 9u = 14 + 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. 12 + 9u + -7u = 14 + 7u + -7u Combine like terms: 9u + -7u = 2u 12 + 2u = 14 + 7u + -7u Combine like terms: 7u + -7u = 0 12 + 2u = 14 + 0 12 + 2u = 14 Add '-12' to each side of the equation. 12 + -12 + 2u = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 2u = 14 + -12 2u = 14 + -12 Combine like terms: 14 + -12 = 2 2u = 2 Divide each side by '2'. u = 1 Simplifying u = 1
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