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Simplifying -4(-2y + -1w) + 4(4w + 2y) = 0 Reorder the terms: -4(-1w + -2y) + 4(4w + 2y) = 0 (-1w * -4 + -2y * -4) + 4(4w + 2y) = 0 (4w + 8y) + 4(4w + 2y) = 0 4w + 8y + (4w * 4 + 2y * 4) = 0 4w + 8y + (16w + 8y) = 0 Reorder the terms: 4w + 16w + 8y + 8y = 0 Combine like terms: 4w + 16w = 20w 20w + 8y + 8y = 0 Combine like terms: 8y + 8y = 16y 20w + 16y = 0 Solving 20w + 16y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16y' to each side of the equation. 20w + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 20w + 0 = 0 + -16y 20w = 0 + -16y Remove the zero: 20w = -16y Divide each side by '20'. w = -0.8y Simplifying w = -0.8y
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