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Simplifying -4(u + 6) + 5(4u + 6) = 0 Reorder the terms: -4(6 + u) + 5(4u + 6) = 0 (6 * -4 + u * -4) + 5(4u + 6) = 0 (-24 + -4u) + 5(4u + 6) = 0 Reorder the terms: -24 + -4u + 5(6 + 4u) = 0 -24 + -4u + (6 * 5 + 4u * 5) = 0 -24 + -4u + (30 + 20u) = 0 Reorder the terms: -24 + 30 + -4u + 20u = 0 Combine like terms: -24 + 30 = 6 6 + -4u + 20u = 0 Combine like terms: -4u + 20u = 16u 6 + 16u = 0 Solving 6 + 16u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 16u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 16u = 0 + -6 16u = 0 + -6 Combine like terms: 0 + -6 = -6 16u = -6 Divide each side by '16'. u = -0.375 Simplifying u = -0.375
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