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Simplifying 4u + 2v + -2(4u + -7v + 3w) = 0 4u + 2v + (4u * -2 + -7v * -2 + 3w * -2) = 0 4u + 2v + (-8u + 14v + -6w) = 0 Reorder the terms: 4u + -8u + 2v + 14v + -6w = 0 Combine like terms: 4u + -8u = -4u -4u + 2v + 14v + -6w = 0 Combine like terms: 2v + 14v = 16v -4u + 16v + -6w = 0 Solving -4u + 16v + -6w = 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. -4u + 16v + -16v + -6w = 0 + -16v Combine like terms: 16v + -16v = 0 -4u + 0 + -6w = 0 + -16v -4u + -6w = 0 + -16v Remove the zero: -4u + -6w = -16v Add '6w' to each side of the equation. -4u + -6w + 6w = -16v + 6w Combine like terms: -6w + 6w = 0 -4u + 0 = -16v + 6w -4u = -16v + 6w Divide each side by '-4'. u = 4v + -1.5w Simplifying u = 4v + -1.5w
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