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Simplifying 9u + 7v + -4(4u + -7v) = 0 9u + 7v + (4u * -4 + -7v * -4) = 0 9u + 7v + (-16u + 28v) = 0 Reorder the terms: 9u + -16u + 7v + 28v = 0 Combine like terms: 9u + -16u = -7u -7u + 7v + 28v = 0 Combine like terms: 7v + 28v = 35v -7u + 35v = 0 Solving -7u + 35v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-35v' to each side of the equation. -7u + 35v + -35v = 0 + -35v Combine like terms: 35v + -35v = 0 -7u + 0 = 0 + -35v -7u = 0 + -35v Remove the zero: -7u = -35v Divide each side by '-7'. u = 5v Simplifying u = 5v
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