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Simplifying -1(-2u + v) + 2(4v + u) = 0 (-2u * -1 + v * -1) + 2(4v + u) = 0 (2u + -1v) + 2(4v + u) = 0 Reorder the terms: 2u + -1v + 2(u + 4v) = 0 2u + -1v + (u * 2 + 4v * 2) = 0 2u + -1v + (2u + 8v) = 0 Reorder the terms: 2u + 2u + -1v + 8v = 0 Combine like terms: 2u + 2u = 4u 4u + -1v + 8v = 0 Combine like terms: -1v + 8v = 7v 4u + 7v = 0 Solving 4u + 7v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7v' to each side of the equation. 4u + 7v + -7v = 0 + -7v Combine like terms: 7v + -7v = 0 4u + 0 = 0 + -7v 4u = 0 + -7v Remove the zero: 4u = -7v Divide each side by '4'. u = -1.75v Simplifying u = -1.75v
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