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Simplifying 12z + -7w + 13z + 9w = 0 Reorder the terms: -7w + 9w + 12z + 13z = 0 Combine like terms: -7w + 9w = 2w 2w + 12z + 13z = 0 Combine like terms: 12z + 13z = 25z 2w + 25z = 0 Solving 2w + 25z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25z' to each side of the equation. 2w + 25z + -25z = 0 + -25z Combine like terms: 25z + -25z = 0 2w + 0 = 0 + -25z 2w = 0 + -25z Remove the zero: 2w = -25z Divide each side by '2'. w = -12.5z Simplifying w = -12.5z
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