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Simplifying 20x + 10y + 40z = 0 Solving 20x + 10y + 40z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 20x + 10y + -10y + 40z = 0 + -10y Combine like terms: 10y + -10y = 0 20x + 0 + 40z = 0 + -10y 20x + 40z = 0 + -10y Remove the zero: 20x + 40z = -10y Add '-40z' to each side of the equation. 20x + 40z + -40z = -10y + -40z Combine like terms: 40z + -40z = 0 20x + 0 = -10y + -40z 20x = -10y + -40z Divide each side by '20'. x = -0.5y + -2z Simplifying x = -0.5y + -2z
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