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Simplifying -3(-4u + -1v) + 2(6v + -1u) = 0 (-4u * -3 + -1v * -3) + 2(6v + -1u) = 0 (12u + 3v) + 2(6v + -1u) = 0 Reorder the terms: 12u + 3v + 2(-1u + 6v) = 0 12u + 3v + (-1u * 2 + 6v * 2) = 0 12u + 3v + (-2u + 12v) = 0 Reorder the terms: 12u + -2u + 3v + 12v = 0 Combine like terms: 12u + -2u = 10u 10u + 3v + 12v = 0 Combine like terms: 3v + 12v = 15v 10u + 15v = 0 Solving 10u + 15v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15v' to each side of the equation. 10u + 15v + -15v = 0 + -15v Combine like terms: 15v + -15v = 0 10u + 0 = 0 + -15v 10u = 0 + -15v Remove the zero: 10u = -15v Divide each side by '10'. u = -1.5v Simplifying u = -1.5v
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