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Simplifying -2(11u + 7) + 9(2u + 4) = u + -1(6u + -13) Reorder the terms: -2(7 + 11u) + 9(2u + 4) = u + -1(6u + -13) (7 * -2 + 11u * -2) + 9(2u + 4) = u + -1(6u + -13) (-14 + -22u) + 9(2u + 4) = u + -1(6u + -13) Reorder the terms: -14 + -22u + 9(4 + 2u) = u + -1(6u + -13) -14 + -22u + (4 * 9 + 2u * 9) = u + -1(6u + -13) -14 + -22u + (36 + 18u) = u + -1(6u + -13) Reorder the terms: -14 + 36 + -22u + 18u = u + -1(6u + -13) Combine like terms: -14 + 36 = 22 22 + -22u + 18u = u + -1(6u + -13) Combine like terms: -22u + 18u = -4u 22 + -4u = u + -1(6u + -13) Reorder the terms: 22 + -4u = u + -1(-13 + 6u) 22 + -4u = u + (-13 * -1 + 6u * -1) 22 + -4u = u + (13 + -6u) Reorder the terms: 22 + -4u = 13 + u + -6u Combine like terms: u + -6u = -5u 22 + -4u = 13 + -5u Solving 22 + -4u = 13 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 22 + -4u + 5u = 13 + -5u + 5u Combine like terms: -4u + 5u = 1u 22 + 1u = 13 + -5u + 5u Combine like terms: -5u + 5u = 0 22 + 1u = 13 + 0 22 + 1u = 13 Add '-22' to each side of the equation. 22 + -22 + 1u = 13 + -22 Combine like terms: 22 + -22 = 0 0 + 1u = 13 + -22 1u = 13 + -22 Combine like terms: 13 + -22 = -9 1u = -9 Divide each side by '1'. u = -9 Simplifying u = -9
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