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Simplifying 4w + 3xy + -2xy + 8w + 5z = 0 Reorder the terms: 4w + 8w + 3xy + -2xy + 5z = 0 Combine like terms: 4w + 8w = 12w 12w + 3xy + -2xy + 5z = 0 Combine like terms: 3xy + -2xy = 1xy 12w + 1xy + 5z = 0 Solving 12w + 1xy + 5z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1xy' to each side of the equation. 12w + 1xy + -1xy + 5z = 0 + -1xy Combine like terms: 1xy + -1xy = 0 12w + 0 + 5z = 0 + -1xy 12w + 5z = 0 + -1xy Remove the zero: 12w + 5z = -1xy Add '-5z' to each side of the equation. 12w + 5z + -5z = -1xy + -5z Combine like terms: 5z + -5z = 0 12w + 0 = -1xy + -5z 12w = -1xy + -5z Divide each side by '12'. w = -0.08333333333xy + -0.4166666667z Simplifying w = -0.08333333333xy + -0.4166666667z
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