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Simplifying 9u + 4v + -7(9u + -2v + 8w) = 0 9u + 4v + (9u * -7 + -2v * -7 + 8w * -7) = 0 9u + 4v + (-63u + 14v + -56w) = 0 Reorder the terms: 9u + -63u + 4v + 14v + -56w = 0 Combine like terms: 9u + -63u = -54u -54u + 4v + 14v + -56w = 0 Combine like terms: 4v + 14v = 18v -54u + 18v + -56w = 0 Solving -54u + 18v + -56w = 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. -54u + 18v + -18v + -56w = 0 + -18v Combine like terms: 18v + -18v = 0 -54u + 0 + -56w = 0 + -18v -54u + -56w = 0 + -18v Remove the zero: -54u + -56w = -18v Add '56w' to each side of the equation. -54u + -56w + 56w = -18v + 56w Combine like terms: -56w + 56w = 0 -54u + 0 = -18v + 56w -54u = -18v + 56w Divide each side by '-54'. u = 0.3333333333v + -1.037037037w Simplifying u = 0.3333333333v + -1.037037037w
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