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Simplifying 9x + 3y + -3(8x + -9y) = 0 9x + 3y + (8x * -3 + -9y * -3) = 0 9x + 3y + (-24x + 27y) = 0 Reorder the terms: 9x + -24x + 3y + 27y = 0 Combine like terms: 9x + -24x = -15x -15x + 3y + 27y = 0 Combine like terms: 3y + 27y = 30y -15x + 30y = 0 Solving -15x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. -15x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 -15x + 0 = 0 + -30y -15x = 0 + -30y Remove the zero: -15x = -30y Divide each side by '-15'. x = 2y Simplifying x = 2y
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