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Simplifying (4u + -3v + 9w) + -4(-4u + 2v + -6w) = 0 Remove parenthesis around (4u + -3v + 9w) 4u + -3v + 9w + -4(-4u + 2v + -6w) = 0 4u + -3v + 9w + (-4u * -4 + 2v * -4 + -6w * -4) = 0 4u + -3v + 9w + (16u + -8v + 24w) = 0 Reorder the terms: 4u + 16u + -3v + -8v + 9w + 24w = 0 Combine like terms: 4u + 16u = 20u 20u + -3v + -8v + 9w + 24w = 0 Combine like terms: -3v + -8v = -11v 20u + -11v + 9w + 24w = 0 Combine like terms: 9w + 24w = 33w 20u + -11v + 33w = 0 Solving 20u + -11v + 33w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '11v' to each side of the equation. 20u + -11v + 11v + 33w = 0 + 11v Combine like terms: -11v + 11v = 0 20u + 0 + 33w = 0 + 11v 20u + 33w = 0 + 11v Remove the zero: 20u + 33w = 11v Add '-33w' to each side of the equation. 20u + 33w + -33w = 11v + -33w Combine like terms: 33w + -33w = 0 20u + 0 = 11v + -33w 20u = 11v + -33w Divide each side by '20'. u = 0.55v + -1.65w Simplifying u = 0.55v + -1.65w
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