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Simplifying 3y + -6x + 3z + -5y = 0 Reorder the terms: -6x + 3y + -5y + 3z = 0 Combine like terms: 3y + -5y = -2y -6x + -2y + 3z = 0 Solving -6x + -2y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -6x + -2y + 2y + 3z = 0 + 2y Combine like terms: -2y + 2y = 0 -6x + 0 + 3z = 0 + 2y -6x + 3z = 0 + 2y Remove the zero: -6x + 3z = 2y Add '-3z' to each side of the equation. -6x + 3z + -3z = 2y + -3z Combine like terms: 3z + -3z = 0 -6x + 0 = 2y + -3z -6x = 2y + -3z Divide each side by '-6'. x = -0.3333333333y + 0.5z Simplifying x = -0.3333333333y + 0.5z
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