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Simplifying 5u + 4v + -7(5u + -2v) = 0 5u + 4v + (5u * -7 + -2v * -7) = 0 5u + 4v + (-35u + 14v) = 0 Reorder the terms: 5u + -35u + 4v + 14v = 0 Combine like terms: 5u + -35u = -30u -30u + 4v + 14v = 0 Combine like terms: 4v + 14v = 18v -30u + 18v = 0 Solving -30u + 18v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18v' to each side of the equation. -30u + 18v + -18v = 0 + -18v Combine like terms: 18v + -18v = 0 -30u + 0 = 0 + -18v -30u = 0 + -18v Remove the zero: -30u = -18v Divide each side by '-30'. u = 0.6v Simplifying u = 0.6v
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