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Simplifying 6u + 5v + -3(6u + -6v + 4w) = 0 6u + 5v + (6u * -3 + -6v * -3 + 4w * -3) = 0 6u + 5v + (-18u + 18v + -12w) = 0 Reorder the terms: 6u + -18u + 5v + 18v + -12w = 0 Combine like terms: 6u + -18u = -12u -12u + 5v + 18v + -12w = 0 Combine like terms: 5v + 18v = 23v -12u + 23v + -12w = 0 Solving -12u + 23v + -12w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-23v' to each side of the equation. -12u + 23v + -23v + -12w = 0 + -23v Combine like terms: 23v + -23v = 0 -12u + 0 + -12w = 0 + -23v -12u + -12w = 0 + -23v Remove the zero: -12u + -12w = -23v Add '12w' to each side of the equation. -12u + -12w + 12w = -23v + 12w Combine like terms: -12w + 12w = 0 -12u + 0 = -23v + 12w -12u = -23v + 12w Divide each side by '-12'. u = 1.916666667v + -1w Simplifying u = 1.916666667v + -1w
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