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Simplifying 3x + -6y + 0z = 0 Anything times zero is zero. 3x + -6y + 0z = 0 Reorder the terms: 0 + 3x + -6y = 0 Remove the zero: 3x + -6y = 0 Solving 3x + -6y = 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. 3x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 3x + 0 = 0 + 6y 3x = 0 + 6y Remove the zero: 3x = 6y Divide each side by '3'. x = 2y Simplifying x = 2y
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