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Simplifying -3(3u + -6v + 8w) = 0 (3u * -3 + -6v * -3 + 8w * -3) = 0 (-9u + 18v + -24w) = 0 Solving -9u + 18v + -24w = 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. -9u + 18v + -18v + -24w = 0 + -18v Combine like terms: 18v + -18v = 0 -9u + 0 + -24w = 0 + -18v -9u + -24w = 0 + -18v Remove the zero: -9u + -24w = -18v Add '24w' to each side of the equation. -9u + -24w + 24w = -18v + 24w Combine like terms: -24w + 24w = 0 -9u + 0 = -18v + 24w -9u = -18v + 24w Divide each side by '-9'. u = 2v + -2.666666667w Simplifying u = 2v + -2.666666667w
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