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Simplifying -6x + -3(-4y + 3x) + -2y = 0 Reorder the terms: -6x + -3(3x + -4y) + -2y = 0 -6x + (3x * -3 + -4y * -3) + -2y = 0 -6x + (-9x + 12y) + -2y = 0 Combine like terms: -6x + -9x = -15x -15x + 12y + -2y = 0 Combine like terms: 12y + -2y = 10y -15x + 10y = 0 Solving -15x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. -15x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -15x + 0 = 0 + -10y -15x = 0 + -10y Remove the zero: -15x = -10y Divide each side by '-15'. x = 0.6666666667y Simplifying x = 0.6666666667y
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