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Simplifying 4y + -3(2x + -3y) = 0 4y + (2x * -3 + -3y * -3) = 0 4y + (-6x + 9y) = 0 Reorder the terms: -6x + 4y + 9y = 0 Combine like terms: 4y + 9y = 13y -6x + 13y = 0 Solving -6x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. -6x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 -6x + 0 = 0 + -13y -6x = 0 + -13y Remove the zero: -6x = -13y Divide each side by '-6'. x = 2.166666667y Simplifying x = 2.166666667y
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