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Simplifying -4(4X + Y) + 4(2X + -2Y) = 0 (4X * -4 + Y * -4) + 4(2X + -2Y) = 0 (-16X + -4Y) + 4(2X + -2Y) = 0 -16X + -4Y + (2X * 4 + -2Y * 4) = 0 -16X + -4Y + (8X + -8Y) = 0 Reorder the terms: -16X + 8X + -4Y + -8Y = 0 Combine like terms: -16X + 8X = -8X -8X + -4Y + -8Y = 0 Combine like terms: -4Y + -8Y = -12Y -8X + -12Y = 0 Solving -8X + -12Y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12Y' to each side of the equation. -8X + -12Y + 12Y = 0 + 12Y Combine like terms: -12Y + 12Y = 0 -8X + 0 = 0 + 12Y -8X = 0 + 12Y Remove the zero: -8X = 12Y Divide each side by '-8'. X = -1.5Y Simplifying X = -1.5Y
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