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