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Simplifying 2x + -3y + 4z = 0 Solving 2x + -3y + 4z = 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 + 4z = 0 + 3y Combine like terms: -3y + 3y = 0 2x + 0 + 4z = 0 + 3y 2x + 4z = 0 + 3y Remove the zero: 2x + 4z = 3y Add '-4z' to each side of the equation. 2x + 4z + -4z = 3y + -4z Combine like terms: 4z + -4z = 0 2x + 0 = 3y + -4z 2x = 3y + -4z Divide each side by '2'. x = 1.5y + -2z Simplifying x = 1.5y + -2z
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