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Simplifying 6u + 4v + -6(6u + -2v + 4w) = 0 6u + 4v + (6u * -6 + -2v * -6 + 4w * -6) = 0 6u + 4v + (-36u + 12v + -24w) = 0 Reorder the terms: 6u + -36u + 4v + 12v + -24w = 0 Combine like terms: 6u + -36u = -30u -30u + 4v + 12v + -24w = 0 Combine like terms: 4v + 12v = 16v -30u + 16v + -24w = 0 Solving -30u + 16v + -24w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16v' to each side of the equation. -30u + 16v + -16v + -24w = 0 + -16v Combine like terms: 16v + -16v = 0 -30u + 0 + -24w = 0 + -16v -30u + -24w = 0 + -16v Remove the zero: -30u + -24w = -16v Add '24w' to each side of the equation. -30u + -24w + 24w = -16v + 24w Combine like terms: -24w + 24w = 0 -30u + 0 = -16v + 24w -30u = -16v + 24w Divide each side by '-30'. u = 0.5333333333v + -0.8w Simplifying u = 0.5333333333v + -0.8w
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