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Simplifying 7u + 2v + -4(7u + -4v + 3w) = 0 7u + 2v + (7u * -4 + -4v * -4 + 3w * -4) = 0 7u + 2v + (-28u + 16v + -12w) = 0 Reorder the terms: 7u + -28u + 2v + 16v + -12w = 0 Combine like terms: 7u + -28u = -21u -21u + 2v + 16v + -12w = 0 Combine like terms: 2v + 16v = 18v -21u + 18v + -12w = 0 Solving -21u + 18v + -12w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18v' to each side of the equation. -21u + 18v + -18v + -12w = 0 + -18v Combine like terms: 18v + -18v = 0 -21u + 0 + -12w = 0 + -18v -21u + -12w = 0 + -18v Remove the zero: -21u + -12w = -18v Add '12w' to each side of the equation. -21u + -12w + 12w = -18v + 12w Combine like terms: -12w + 12w = 0 -21u + 0 = -18v + 12w -21u = -18v + 12w Divide each side by '-21'. u = 0.8571428571v + -0.5714285714w Simplifying u = 0.8571428571v + -0.5714285714w
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