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Simplifying 40000x + -20000y + -10000z + 0 = 0 Reorder the terms: 0 + 40000x + -20000y + -10000z = 0 Remove the zero: 40000x + -20000y + -10000z = 0 Solving 40000x + -20000y + -10000z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20000y' to each side of the equation. 40000x + -20000y + 20000y + -10000z = 0 + 20000y Combine like terms: -20000y + 20000y = 0 40000x + 0 + -10000z = 0 + 20000y 40000x + -10000z = 0 + 20000y Remove the zero: 40000x + -10000z = 20000y Add '10000z' to each side of the equation. 40000x + -10000z + 10000z = 20000y + 10000z Combine like terms: -10000z + 10000z = 0 40000x + 0 = 20000y + 10000z 40000x = 20000y + 10000z Divide each side by '40000'. x = 0.5y + 0.25z Simplifying x = 0.5y + 0.25z
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