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Simplifying -4(4w + y) + 4(5y + 3w) = 0 (4w * -4 + y * -4) + 4(5y + 3w) = 0 (-16w + -4y) + 4(5y + 3w) = 0 Reorder the terms: -16w + -4y + 4(3w + 5y) = 0 -16w + -4y + (3w * 4 + 5y * 4) = 0 -16w + -4y + (12w + 20y) = 0 Reorder the terms: -16w + 12w + -4y + 20y = 0 Combine like terms: -16w + 12w = -4w -4w + -4y + 20y = 0 Combine like terms: -4y + 20y = 16y -4w + 16y = 0 Solving -4w + 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. -4w + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 -4w + 0 = 0 + -16y -4w = 0 + -16y Remove the zero: -4w = -16y Divide each side by '-4'. w = 4y Simplifying w = 4y
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