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Simplifying 2(u + 9) = -3(2u + -1) + 2u Reorder the terms: 2(9 + u) = -3(2u + -1) + 2u (9 * 2 + u * 2) = -3(2u + -1) + 2u (18 + 2u) = -3(2u + -1) + 2u Reorder the terms: 18 + 2u = -3(-1 + 2u) + 2u 18 + 2u = (-1 * -3 + 2u * -3) + 2u 18 + 2u = (3 + -6u) + 2u Combine like terms: -6u + 2u = -4u 18 + 2u = 3 + -4u Solving 18 + 2u = 3 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 18 + 2u + 4u = 3 + -4u + 4u Combine like terms: 2u + 4u = 6u 18 + 6u = 3 + -4u + 4u Combine like terms: -4u + 4u = 0 18 + 6u = 3 + 0 18 + 6u = 3 Add '-18' to each side of the equation. 18 + -18 + 6u = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 6u = 3 + -18 6u = 3 + -18 Combine like terms: 3 + -18 = -15 6u = -15 Divide each side by '6'. u = -2.5 Simplifying u = -2.5
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