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Simplifying 10u + 9 + -11 + -1u = -2(2u + 4) + -3(2u + -2) Reorder the terms: 9 + -11 + 10u + -1u = -2(2u + 4) + -3(2u + -2) Combine like terms: 9 + -11 = -2 -2 + 10u + -1u = -2(2u + 4) + -3(2u + -2) Combine like terms: 10u + -1u = 9u -2 + 9u = -2(2u + 4) + -3(2u + -2) Reorder the terms: -2 + 9u = -2(4 + 2u) + -3(2u + -2) -2 + 9u = (4 * -2 + 2u * -2) + -3(2u + -2) -2 + 9u = (-8 + -4u) + -3(2u + -2) Reorder the terms: -2 + 9u = -8 + -4u + -3(-2 + 2u) -2 + 9u = -8 + -4u + (-2 * -3 + 2u * -3) -2 + 9u = -8 + -4u + (6 + -6u) Reorder the terms: -2 + 9u = -8 + 6 + -4u + -6u Combine like terms: -8 + 6 = -2 -2 + 9u = -2 + -4u + -6u Combine like terms: -4u + -6u = -10u -2 + 9u = -2 + -10u Add '2' to each side of the equation. -2 + 2 + 9u = -2 + 2 + -10u Combine like terms: -2 + 2 = 0 0 + 9u = -2 + 2 + -10u 9u = -2 + 2 + -10u Combine like terms: -2 + 2 = 0 9u = 0 + -10u 9u = -10u Solving 9u = -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. 9u + 10u = -10u + 10u Combine like terms: 9u + 10u = 19u 19u = -10u + 10u Combine like terms: -10u + 10u = 0 19u = 0 Divide each side by '19'. u = 0 Simplifying u = 0
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