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Simplifying 7u + 3 = -2(u + -6) Reorder the terms: 3 + 7u = -2(u + -6) Reorder the terms: 3 + 7u = -2(-6 + u) 3 + 7u = (-6 * -2 + u * -2) 3 + 7u = (12 + -2u) Solving 3 + 7u = 12 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 3 + 7u + 2u = 12 + -2u + 2u Combine like terms: 7u + 2u = 9u 3 + 9u = 12 + -2u + 2u Combine like terms: -2u + 2u = 0 3 + 9u = 12 + 0 3 + 9u = 12 Add '-3' to each side of the equation. 3 + -3 + 9u = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9u = 12 + -3 9u = 12 + -3 Combine like terms: 12 + -3 = 9 9u = 9 Divide each side by '9'. u = 1 Simplifying u = 1
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