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Simplifying -4(3v + u) + 6(-1u + -6v) = 0 Reorder the terms: -4(u + 3v) + 6(-1u + -6v) = 0 (u * -4 + 3v * -4) + 6(-1u + -6v) = 0 (-4u + -12v) + 6(-1u + -6v) = 0 -4u + -12v + (-1u * 6 + -6v * 6) = 0 -4u + -12v + (-6u + -36v) = 0 Reorder the terms: -4u + -6u + -12v + -36v = 0 Combine like terms: -4u + -6u = -10u -10u + -12v + -36v = 0 Combine like terms: -12v + -36v = -48v -10u + -48v = 0 Solving -10u + -48v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '48v' to each side of the equation. -10u + -48v + 48v = 0 + 48v Combine like terms: -48v + 48v = 0 -10u + 0 = 0 + 48v -10u = 0 + 48v Remove the zero: -10u = 48v Divide each side by '-10'. u = -4.8v Simplifying u = -4.8v
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