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Simplifying 7u + 9v + -6(3u + -7v) = 0 7u + 9v + (3u * -6 + -7v * -6) = 0 7u + 9v + (-18u + 42v) = 0 Reorder the terms: 7u + -18u + 9v + 42v = 0 Combine like terms: 7u + -18u = -11u -11u + 9v + 42v = 0 Combine like terms: 9v + 42v = 51v -11u + 51v = 0 Solving -11u + 51v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-51v' to each side of the equation. -11u + 51v + -51v = 0 + -51v Combine like terms: 51v + -51v = 0 -11u + 0 = 0 + -51v -11u = 0 + -51v Remove the zero: -11u = -51v Divide each side by '-11'. u = 4.636363636v Simplifying u = 4.636363636v
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