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Simplifying 4u + 2v + -9(5u + -7v) = 0 4u + 2v + (5u * -9 + -7v * -9) = 0 4u + 2v + (-45u + 63v) = 0 Reorder the terms: 4u + -45u + 2v + 63v = 0 Combine like terms: 4u + -45u = -41u -41u + 2v + 63v = 0 Combine like terms: 2v + 63v = 65v -41u + 65v = 0 Solving -41u + 65v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-65v' to each side of the equation. -41u + 65v + -65v = 0 + -65v Combine like terms: 65v + -65v = 0 -41u + 0 = 0 + -65v -41u = 0 + -65v Remove the zero: -41u = -65v Divide each side by '-41'. u = 1.585365854v Simplifying u = 1.585365854v
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