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Simplifying 7u + -2 + 2(3u + 1) = -2(u + 9) Reorder the terms: 7u + -2 + 2(1 + 3u) = -2(u + 9) 7u + -2 + (1 * 2 + 3u * 2) = -2(u + 9) 7u + -2 + (2 + 6u) = -2(u + 9) Reorder the terms: -2 + 2 + 7u + 6u = -2(u + 9) Combine like terms: -2 + 2 = 0 0 + 7u + 6u = -2(u + 9) 7u + 6u = -2(u + 9) Combine like terms: 7u + 6u = 13u 13u = -2(u + 9) Reorder the terms: 13u = -2(9 + u) 13u = (9 * -2 + u * -2) 13u = (-18 + -2u) Solving 13u = -18 + -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. 13u + 2u = -18 + -2u + 2u Combine like terms: 13u + 2u = 15u 15u = -18 + -2u + 2u Combine like terms: -2u + 2u = 0 15u = -18 + 0 15u = -18 Divide each side by '15'. u = -1.2 Simplifying u = -1.2
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