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Simplifying 3(3u + 2v) + -1a(3u + 2v) = 0 (3u * 3 + 2v * 3) + -1a(3u + 2v) = 0 (9u + 6v) + -1a(3u + 2v) = 0 9u + 6v + (3u * -1a + 2v * -1a) = 0 9u + 6v + (-3au + -2av) = 0 Reorder the terms: -3au + -2av + 9u + 6v = 0 Solving -3au + -2av + 9u + 6v = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9u' to each side of the equation. -3au + -2av + 9u + -9u + 6v = 0 + -9u Combine like terms: 9u + -9u = 0 -3au + -2av + 0 + 6v = 0 + -9u -3au + -2av + 6v = 0 + -9u Remove the zero: -3au + -2av + 6v = -9u Add '-6v' to each side of the equation. -3au + -2av + 6v + -6v = -9u + -6v Combine like terms: 6v + -6v = 0 -3au + -2av + 0 = -9u + -6v -3au + -2av = -9u + -6v Reorder the terms: -3au + -2av + 9u + 6v = -9u + 9u + -6v + 6v Combine like terms: -9u + 9u = 0 -3au + -2av + 9u + 6v = 0 + -6v + 6v -3au + -2av + 9u + 6v = -6v + 6v Combine like terms: -6v + 6v = 0 -3au + -2av + 9u + 6v = 0 The solution to this equation could not be determined.
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