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Simplifying (X + -1w) * y = 0 Reorder the terms for easier multiplication: y(X + -1w) = 0 (X * y + -1w * y) = 0 Reorder the terms: (-1wy + yX) = 0 (-1wy + yX) = 0 Solving -1wy + yX = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1yX' to each side of the equation. -1wy + yX + -1yX = 0 + -1yX Combine like terms: yX + -1yX = 0 -1wy + 0 = 0 + -1yX -1wy = 0 + -1yX Remove the zero: -1wy = -1yX Divide each side by '-1y'. w = X Simplifying w = X
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