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Simplifying 8u + 2v + -4(8u + -4v + 7w) = 0 8u + 2v + (8u * -4 + -4v * -4 + 7w * -4) = 0 8u + 2v + (-32u + 16v + -28w) = 0 Reorder the terms: 8u + -32u + 2v + 16v + -28w = 0 Combine like terms: 8u + -32u = -24u -24u + 2v + 16v + -28w = 0 Combine like terms: 2v + 16v = 18v -24u + 18v + -28w = 0 Solving -24u + 18v + -28w = 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. -24u + 18v + -18v + -28w = 0 + -18v Combine like terms: 18v + -18v = 0 -24u + 0 + -28w = 0 + -18v -24u + -28w = 0 + -18v Remove the zero: -24u + -28w = -18v Add '28w' to each side of the equation. -24u + -28w + 28w = -18v + 28w Combine like terms: -28w + 28w = 0 -24u + 0 = -18v + 28w -24u = -18v + 28w Divide each side by '-24'. u = 0.75v + -1.166666667w Simplifying u = 0.75v + -1.166666667w
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