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Simplifying x + y + -2u + 3z = 0 Reorder the terms: -2u + x + y + 3z = 0 Solving -2u + x + y + 3z = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1x' to each side of the equation. -2u + x + y + -1x + 3z = 0 + -1x Reorder the terms: -2u + x + -1x + y + 3z = 0 + -1x Combine like terms: x + -1x = 0 -2u + 0 + y + 3z = 0 + -1x -2u + y + 3z = 0 + -1x Remove the zero: -2u + y + 3z = -1x Add '-1y' to each side of the equation. -2u + y + -1y + 3z = -1x + -1y Combine like terms: y + -1y = 0 -2u + 0 + 3z = -1x + -1y -2u + 3z = -1x + -1y Add '-3z' to each side of the equation. -2u + 3z + -3z = -1x + -1y + -3z Combine like terms: 3z + -3z = 0 -2u + 0 = -1x + -1y + -3z -2u = -1x + -1y + -3z Divide each side by '-2'. u = 0.5x + 0.5y + 1.5z Simplifying u = 0.5x + 0.5y + 1.5z
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