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Simplifying 2(u + 3) = -7u + -12 Reorder the terms: 2(3 + u) = -7u + -12 (3 * 2 + u * 2) = -7u + -12 (6 + 2u) = -7u + -12 Reorder the terms: 6 + 2u = -12 + -7u Solving 6 + 2u = -12 + -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. 6 + 2u + 7u = -12 + -7u + 7u Combine like terms: 2u + 7u = 9u 6 + 9u = -12 + -7u + 7u Combine like terms: -7u + 7u = 0 6 + 9u = -12 + 0 6 + 9u = -12 Add '-6' to each side of the equation. 6 + -6 + 9u = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9u = -12 + -6 9u = -12 + -6 Combine like terms: -12 + -6 = -18 9u = -18 Divide each side by '9'. u = -2 Simplifying u = -2
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