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Simplifying 8u + 4(-11u + 10) = 2(-19u + -6) Reorder the terms: 8u + 4(10 + -11u) = 2(-19u + -6) 8u + (10 * 4 + -11u * 4) = 2(-19u + -6) 8u + (40 + -44u) = 2(-19u + -6) Reorder the terms: 40 + 8u + -44u = 2(-19u + -6) Combine like terms: 8u + -44u = -36u 40 + -36u = 2(-19u + -6) Reorder the terms: 40 + -36u = 2(-6 + -19u) 40 + -36u = (-6 * 2 + -19u * 2) 40 + -36u = (-12 + -38u) Solving 40 + -36u = -12 + -38u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '38u' to each side of the equation. 40 + -36u + 38u = -12 + -38u + 38u Combine like terms: -36u + 38u = 2u 40 + 2u = -12 + -38u + 38u Combine like terms: -38u + 38u = 0 40 + 2u = -12 + 0 40 + 2u = -12 Add '-40' to each side of the equation. 40 + -40 + 2u = -12 + -40 Combine like terms: 40 + -40 = 0 0 + 2u = -12 + -40 2u = -12 + -40 Combine like terms: -12 + -40 = -52 2u = -52 Divide each side by '2'. u = -26 Simplifying u = -26
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