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Simplifying 7w + -7z + 4w + -5z = 0 Reorder the terms: 7w + 4w + -7z + -5z = 0 Combine like terms: 7w + 4w = 11w 11w + -7z + -5z = 0 Combine like terms: -7z + -5z = -12z 11w + -12z = 0 Solving 11w + -12z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12z' to each side of the equation. 11w + -12z + 12z = 0 + 12z Combine like terms: -12z + 12z = 0 11w + 0 = 0 + 12z 11w = 0 + 12z Remove the zero: 11w = 12z Divide each side by '11'. w = 1.090909091z Simplifying w = 1.090909091z
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