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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 = 15 15 + -30u + -14u = 0 Combine like terms: -30u + -14u = -44u 15 + -44u = 0 Solving 15 + -44u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -44u = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -44u = 0 + -15 -44u = 0 + -15 Combine like terms: 0 + -15 = -15 -44u = -15 Divide each side by '-44'. u = 0.3409090909 Simplifying u = 0.3409090909
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