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Simplifying -1(6x + y + -1z) = 0 (6x * -1 + y * -1 + -1z * -1) = 0 (-6x + -1y + 1z) = 0 Solving -6x + -1y + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -6x + -1y + y + 1z = 0 + y Combine like terms: -1y + y = 0 -6x + 0 + 1z = 0 + y -6x + 1z = 0 + y Remove the zero: -6x + 1z = y Add '-1z' to each side of the equation. -6x + 1z + -1z = y + -1z Combine like terms: 1z + -1z = 0 -6x + 0 = y + -1z -6x = y + -1z Divide each side by '-6'. x = -0.1666666667y + 0.1666666667z Simplifying x = -0.1666666667y + 0.1666666667z
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