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Simplifying 8u + 7v + -9(5u + -2v) = 0 8u + 7v + (5u * -9 + -2v * -9) = 0 8u + 7v + (-45u + 18v) = 0 Reorder the terms: 8u + -45u + 7v + 18v = 0 Combine like terms: 8u + -45u = -37u -37u + 7v + 18v = 0 Combine like terms: 7v + 18v = 25v -37u + 25v = 0 Solving -37u + 25v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-25v' to each side of the equation. -37u + 25v + -25v = 0 + -25v Combine like terms: 25v + -25v = 0 -37u + 0 = 0 + -25v -37u = 0 + -25v Remove the zero: -37u = -25v Divide each side by '-37'. u = 0.6756756757v Simplifying u = 0.6756756757v
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