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Simplifying 3u + 6v + -2(3u + -7v + 2w) = 0 3u + 6v + (3u * -2 + -7v * -2 + 2w * -2) = 0 3u + 6v + (-6u + 14v + -4w) = 0 Reorder the terms: 3u + -6u + 6v + 14v + -4w = 0 Combine like terms: 3u + -6u = -3u -3u + 6v + 14v + -4w = 0 Combine like terms: 6v + 14v = 20v -3u + 20v + -4w = 0 Solving -3u + 20v + -4w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20v' to each side of the equation. -3u + 20v + -20v + -4w = 0 + -20v Combine like terms: 20v + -20v = 0 -3u + 0 + -4w = 0 + -20v -3u + -4w = 0 + -20v Remove the zero: -3u + -4w = -20v Add '4w' to each side of the equation. -3u + -4w + 4w = -20v + 4w Combine like terms: -4w + 4w = 0 -3u + 0 = -20v + 4w -3u = -20v + 4w Divide each side by '-3'. u = 6.666666667v + -1.333333333w Simplifying u = 6.666666667v + -1.333333333w
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