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Simplifying -4z + 6x + -2y + 2z + -3y = 0 Reorder the terms: 6x + -2y + -3y + -4z + 2z = 0 Combine like terms: -2y + -3y = -5y 6x + -5y + -4z + 2z = 0 Combine like terms: -4z + 2z = -2z 6x + -5y + -2z = 0 Solving 6x + -5y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 6x + -5y + 5y + -2z = 0 + 5y Combine like terms: -5y + 5y = 0 6x + 0 + -2z = 0 + 5y 6x + -2z = 0 + 5y Remove the zero: 6x + -2z = 5y Add '2z' to each side of the equation. 6x + -2z + 2z = 5y + 2z Combine like terms: -2z + 2z = 0 6x + 0 = 5y + 2z 6x = 5y + 2z Divide each side by '6'. x = 0.8333333333y + 0.3333333333z Simplifying x = 0.8333333333y + 0.3333333333z
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