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Simplifying -4(3x + -2y + 6) = 0 Reorder the terms: -4(6 + 3x + -2y) = 0 (6 * -4 + 3x * -4 + -2y * -4) = 0 (-24 + -12x + 8y) = 0 Solving -24 + -12x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -12x + 24 + 8y = 0 + 24 Reorder the terms: -24 + 24 + -12x + 8y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -12x + 8y = 0 + 24 -12x + 8y = 0 + 24 Combine like terms: 0 + 24 = 24 -12x + 8y = 24 Add '-8y' to each side of the equation. -12x + 8y + -8y = 24 + -8y Combine like terms: 8y + -8y = 0 -12x + 0 = 24 + -8y -12x = 24 + -8y Divide each side by '-12'. x = -2 + 0.6666666667y Simplifying x = -2 + 0.6666666667y
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