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Simplifying -2u + v + -1w + 4x + -1y = 0 Solving -2u + v + -1w + 4x + -1y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. -2u + v + -1w + 4x + -1v + -1y = 0 + -1v Reorder the terms: -2u + v + -1v + -1w + 4x + -1y = 0 + -1v Combine like terms: v + -1v = 0 -2u + 0 + -1w + 4x + -1y = 0 + -1v -2u + -1w + 4x + -1y = 0 + -1v Remove the zero: -2u + -1w + 4x + -1y = -1v Add 'w' to each side of the equation. -2u + -1w + 4x + w + -1y = -1v + w Reorder the terms: -2u + -1w + w + 4x + -1y = -1v + w Combine like terms: -1w + w = 0 -2u + 0 + 4x + -1y = -1v + w -2u + 4x + -1y = -1v + w Add '-4x' to each side of the equation. -2u + 4x + -4x + -1y = -1v + w + -4x Combine like terms: 4x + -4x = 0 -2u + 0 + -1y = -1v + w + -4x -2u + -1y = -1v + w + -4x Add 'y' to each side of the equation. -2u + -1y + y = -1v + w + -4x + y Combine like terms: -1y + y = 0 -2u + 0 = -1v + w + -4x + y -2u = -1v + w + -4x + y Divide each side by '-2'. u = 0.5v + -0.5w + 2x + -0.5y Simplifying u = 0.5v + -0.5w + 2x + -0.5y
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