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Simplifying 7u + 9v + -8(7u + -5v + 4w) = 0 7u + 9v + (7u * -8 + -5v * -8 + 4w * -8) = 0 7u + 9v + (-56u + 40v + -32w) = 0 Reorder the terms: 7u + -56u + 9v + 40v + -32w = 0 Combine like terms: 7u + -56u = -49u -49u + 9v + 40v + -32w = 0 Combine like terms: 9v + 40v = 49v -49u + 49v + -32w = 0 Solving -49u + 49v + -32w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-49v' to each side of the equation. -49u + 49v + -49v + -32w = 0 + -49v Combine like terms: 49v + -49v = 0 -49u + 0 + -32w = 0 + -49v -49u + -32w = 0 + -49v Remove the zero: -49u + -32w = -49v Add '32w' to each side of the equation. -49u + -32w + 32w = -49v + 32w Combine like terms: -32w + 32w = 0 -49u + 0 = -49v + 32w -49u = -49v + 32w Divide each side by '-49'. u = v + -0.6530612245w Simplifying u = v + -0.6530612245w
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