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Simplifying -1(5u + v) + 6(2v + 6u) = 0 (5u * -1 + v * -1) + 6(2v + 6u) = 0 (-5u + -1v) + 6(2v + 6u) = 0 Reorder the terms: -5u + -1v + 6(6u + 2v) = 0 -5u + -1v + (6u * 6 + 2v * 6) = 0 -5u + -1v + (36u + 12v) = 0 Reorder the terms: -5u + 36u + -1v + 12v = 0 Combine like terms: -5u + 36u = 31u 31u + -1v + 12v = 0 Combine like terms: -1v + 12v = 11v 31u + 11v = 0 Solving 31u + 11v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11v' to each side of the equation. 31u + 11v + -11v = 0 + -11v Combine like terms: 11v + -11v = 0 31u + 0 = 0 + -11v 31u = 0 + -11v Remove the zero: 31u = -11v Divide each side by '31'. u = -0.3548387097v Simplifying u = -0.3548387097v
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