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Simplifying 6(-5u + 1) + 7(3 + -2u) = 0 Reorder the terms: 6(1 + -5u) + 7(3 + -2u) = 0 (1 * 6 + -5u * 6) + 7(3 + -2u) = 0 (6 + -30u) + 7(3 + -2u) = 0 6 + -30u + (3 * 7 + -2u * 7) = 0 6 + -30u + (21 + -14u) = 0 Reorder the terms: 6 + 21 + -30u + -14u = 0 Combine like terms: 6 + 21 = 27 27 + -30u + -14u = 0 Combine like terms: -30u + -14u = -44u 27 + -44u = 0 Solving 27 + -44u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -44u = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -44u = 0 + -27 -44u = 0 + -27 Combine like terms: 0 + -27 = -27 -44u = -27 Divide each side by '-44'. u = 0.6136363636 Simplifying u = 0.6136363636
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