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Simplifying 4x + -2y + 3z = 0 Solving 4x + -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. 4x + -2y + 2y + 3z = 0 + 2y Combine like terms: -2y + 2y = 0 4x + 0 + 3z = 0 + 2y 4x + 3z = 0 + 2y Remove the zero: 4x + 3z = 2y Add '-3z' to each side of the equation. 4x + 3z + -3z = 2y + -3z Combine like terms: 3z + -3z = 0 4x + 0 = 2y + -3z 4x = 2y + -3z Divide each side by '4'. x = 0.5y + -0.75z Simplifying x = 0.5y + -0.75z
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