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Simplifying -4x(a + -2y + 3) = 0 Reorder the terms: -4x(3 + a + -2y) = 0 (3 * -4x + a * -4x + -2y * -4x) = 0 Reorder the terms: (-4ax + -12x + 8xy) = 0 (-4ax + -12x + 8xy) = 0 Solving -4ax + -12x + 8xy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12x' to each side of the equation. -4ax + -12x + 12x + 8xy = 0 + 12x Combine like terms: -12x + 12x = 0 -4ax + 0 + 8xy = 0 + 12x -4ax + 8xy = 0 + 12x Remove the zero: -4ax + 8xy = 12x Add '-8xy' to each side of the equation. -4ax + 8xy + -8xy = 12x + -8xy Combine like terms: 8xy + -8xy = 0 -4ax + 0 = 12x + -8xy -4ax = 12x + -8xy Divide each side by '-4x'. a = -3 + 2y Simplifying a = -3 + 2y
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