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Simplifying 8u + 3v + 2u + 7v = 0 Reorder the terms: 8u + 2u + 3v + 7v = 0 Combine like terms: 8u + 2u = 10u 10u + 3v + 7v = 0 Combine like terms: 3v + 7v = 10v 10u + 10v = 0 Solving 10u + 10v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10v' to each side of the equation. 10u + 10v + -10v = 0 + -10v Combine like terms: 10v + -10v = 0 10u + 0 = 0 + -10v 10u = 0 + -10v Remove the zero: 10u = -10v Divide each side by '10'. u = -1v Simplifying u = -1v
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