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Simplifying 4(2X + Y) + -3(3X + -2Y) = 0 (2X * 4 + Y * 4) + -3(3X + -2Y) = 0 (8X + 4Y) + -3(3X + -2Y) = 0 8X + 4Y + (3X * -3 + -2Y * -3) = 0 8X + 4Y + (-9X + 6Y) = 0 Reorder the terms: 8X + -9X + 4Y + 6Y = 0 Combine like terms: 8X + -9X = -1X -1X + 4Y + 6Y = 0 Combine like terms: 4Y + 6Y = 10Y -1X + 10Y = 0 Solving -1X + 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. -1X + 10Y + -10Y = 0 + -10Y Combine like terms: 10Y + -10Y = 0 -1X + 0 = 0 + -10Y -1X = 0 + -10Y Remove the zero: -1X = -10Y Divide each side by '-1'. X = 10Y Simplifying X = 10Y
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