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Simplifying 8x + -4y + -1z = 0 Solving 8x + -4y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 8x + -4y + 4y + -1z = 0 + 4y Combine like terms: -4y + 4y = 0 8x + 0 + -1z = 0 + 4y 8x + -1z = 0 + 4y Remove the zero: 8x + -1z = 4y Add 'z' to each side of the equation. 8x + -1z + z = 4y + z Combine like terms: -1z + z = 0 8x + 0 = 4y + z 8x = 4y + z Divide each side by '8'. x = 0.5y + 0.125z Simplifying x = 0.5y + 0.125z
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