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Simplifying -3(7xy + -11y) + -2y(-2x + 3y) = 0 (7xy * -3 + -11y * -3) + -2y(-2x + 3y) = 0 (-21xy + 33y) + -2y(-2x + 3y) = 0 -21xy + 33y + (-2x * -2y + 3y * -2y) = 0 -21xy + 33y + (4xy + -6y2) = 0 Reorder the terms: -21xy + 4xy + 33y + -6y2 = 0 Combine like terms: -21xy + 4xy = -17xy -17xy + 33y + -6y2 = 0 Solving -17xy + 33y + -6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33y' to each side of the equation. -17xy + 33y + -33y + -6y2 = 0 + -33y Combine like terms: 33y + -33y = 0 -17xy + 0 + -6y2 = 0 + -33y -17xy + -6y2 = 0 + -33y Remove the zero: -17xy + -6y2 = -33y Add '6y2' to each side of the equation. -17xy + -6y2 + 6y2 = -33y + 6y2 Combine like terms: -6y2 + 6y2 = 0 -17xy + 0 = -33y + 6y2 -17xy = -33y + 6y2 Divide each side by '-17y'. x = 1.941176471 + -0.3529411765y Simplifying x = 1.941176471 + -0.3529411765y
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