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Simplifying 7u + 6v + -9(7u + -5v + 4w) = 0 7u + 6v + (7u * -9 + -5v * -9 + 4w * -9) = 0 7u + 6v + (-63u + 45v + -36w) = 0 Reorder the terms: 7u + -63u + 6v + 45v + -36w = 0 Combine like terms: 7u + -63u = -56u -56u + 6v + 45v + -36w = 0 Combine like terms: 6v + 45v = 51v -56u + 51v + -36w = 0 Solving -56u + 51v + -36w = 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. -56u + 51v + -51v + -36w = 0 + -51v Combine like terms: 51v + -51v = 0 -56u + 0 + -36w = 0 + -51v -56u + -36w = 0 + -51v Remove the zero: -56u + -36w = -51v Add '36w' to each side of the equation. -56u + -36w + 36w = -51v + 36w Combine like terms: -36w + 36w = 0 -56u + 0 = -51v + 36w -56u = -51v + 36w Divide each side by '-56'. u = 0.9107142857v + -0.6428571429w Simplifying u = 0.9107142857v + -0.6428571429w
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