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Simplifying (8u + -9v + 5w) + -6(-8u + 2v + -9w) = 0 Remove parenthesis around (8u + -9v + 5w) 8u + -9v + 5w + -6(-8u + 2v + -9w) = 0 8u + -9v + 5w + (-8u * -6 + 2v * -6 + -9w * -6) = 0 8u + -9v + 5w + (48u + -12v + 54w) = 0 Reorder the terms: 8u + 48u + -9v + -12v + 5w + 54w = 0 Combine like terms: 8u + 48u = 56u 56u + -9v + -12v + 5w + 54w = 0 Combine like terms: -9v + -12v = -21v 56u + -21v + 5w + 54w = 0 Combine like terms: 5w + 54w = 59w 56u + -21v + 59w = 0 Solving 56u + -21v + 59w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21v' to each side of the equation. 56u + -21v + 21v + 59w = 0 + 21v Combine like terms: -21v + 21v = 0 56u + 0 + 59w = 0 + 21v 56u + 59w = 0 + 21v Remove the zero: 56u + 59w = 21v Add '-59w' to each side of the equation. 56u + 59w + -59w = 21v + -59w Combine like terms: 59w + -59w = 0 56u + 0 = 21v + -59w 56u = 21v + -59w Divide each side by '56'. u = 0.375v + -1.053571429w Simplifying u = 0.375v + -1.053571429w
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