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Simplifying 5u + 3v + -2(5u + -4v + 8w) = 0 5u + 3v + (5u * -2 + -4v * -2 + 8w * -2) = 0 5u + 3v + (-10u + 8v + -16w) = 0 Reorder the terms: 5u + -10u + 3v + 8v + -16w = 0 Combine like terms: 5u + -10u = -5u -5u + 3v + 8v + -16w = 0 Combine like terms: 3v + 8v = 11v -5u + 11v + -16w = 0 Solving -5u + 11v + -16w = 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. -5u + 11v + -11v + -16w = 0 + -11v Combine like terms: 11v + -11v = 0 -5u + 0 + -16w = 0 + -11v -5u + -16w = 0 + -11v Remove the zero: -5u + -16w = -11v Add '16w' to each side of the equation. -5u + -16w + 16w = -11v + 16w Combine like terms: -16w + 16w = 0 -5u + 0 = -11v + 16w -5u = -11v + 16w Divide each side by '-5'. u = 2.2v + -3.2w Simplifying u = 2.2v + -3.2w
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