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Simplifying 100x + -27y + -1z = 0 Solving 100x + -27y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27y' to each side of the equation. 100x + -27y + 27y + -1z = 0 + 27y Combine like terms: -27y + 27y = 0 100x + 0 + -1z = 0 + 27y 100x + -1z = 0 + 27y Remove the zero: 100x + -1z = 27y Add 'z' to each side of the equation. 100x + -1z + z = 27y + z Combine like terms: -1z + z = 0 100x + 0 = 27y + z 100x = 27y + z Divide each side by '100'. x = 0.27y + 0.01z Simplifying x = 0.27y + 0.01z
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