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Simplifying 9(8 + 3z + -9w) = 0 Reorder the terms: 9(8 + -9w + 3z) = 0 (8 * 9 + -9w * 9 + 3z * 9) = 0 (72 + -81w + 27z) = 0 Solving 72 + -81w + 27z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -81w + -72 + 27z = 0 + -72 Reorder the terms: 72 + -72 + -81w + 27z = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -81w + 27z = 0 + -72 -81w + 27z = 0 + -72 Combine like terms: 0 + -72 = -72 -81w + 27z = -72 Add '-27z' to each side of the equation. -81w + 27z + -27z = -72 + -27z Combine like terms: 27z + -27z = 0 -81w + 0 = -72 + -27z -81w = -72 + -27z Divide each side by '-81'. w = 0.8888888889 + 0.3333333333z Simplifying w = 0.8888888889 + 0.3333333333z
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