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Simplifying -3(2x + -4y + 3z) = 0 (2x * -3 + -4y * -3 + 3z * -3) = 0 (-6x + 12y + -9z) = 0 Solving -6x + 12y + -9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -6x + 12y + -12y + -9z = 0 + -12y Combine like terms: 12y + -12y = 0 -6x + 0 + -9z = 0 + -12y -6x + -9z = 0 + -12y Remove the zero: -6x + -9z = -12y Add '9z' to each side of the equation. -6x + -9z + 9z = -12y + 9z Combine like terms: -9z + 9z = 0 -6x + 0 = -12y + 9z -6x = -12y + 9z Divide each side by '-6'. x = 2y + -1.5z Simplifying x = 2y + -1.5z
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