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