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Simplifying (9x + -3y) + -1(3x + -2y) = 0 Remove parenthesis around (9x + -3y) 9x + -3y + -1(3x + -2y) = 0 9x + -3y + (3x * -1 + -2y * -1) = 0 9x + -3y + (-3x + 2y) = 0 Reorder the terms: 9x + -3x + -3y + 2y = 0 Combine like terms: 9x + -3x = 6x 6x + -3y + 2y = 0 Combine like terms: -3y + 2y = -1y 6x + -1y = 0 Solving 6x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 6x + -1y + y = 0 + y Combine like terms: -1y + y = 0 6x + 0 = 0 + y 6x = 0 + y Remove the zero: 6x = y Divide each side by '6'. x = 0.1666666667y Simplifying x = 0.1666666667y
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