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Simplifying w + 3z + 5w + 2z = 0 Reorder the terms: w + 5w + 3z + 2z = 0 Combine like terms: w + 5w = 6w 6w + 3z + 2z = 0 Combine like terms: 3z + 2z = 5z 6w + 5z = 0 Solving 6w + 5z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5z' to each side of the equation. 6w + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 6w + 0 = 0 + -5z 6w = 0 + -5z Remove the zero: 6w = -5z Divide each side by '6'. w = -0.8333333333z Simplifying w = -0.8333333333z
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