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Simplifying 6(5z + 3w) = 0 Reorder the terms: 6(3w + 5z) = 0 (3w * 6 + 5z * 6) = 0 (18w + 30z) = 0 Solving 18w + 30z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30z' to each side of the equation. 18w + 30z + -30z = 0 + -30z Combine like terms: 30z + -30z = 0 18w + 0 = 0 + -30z 18w = 0 + -30z Remove the zero: 18w = -30z Divide each side by '18'. w = -1.666666667z Simplifying w = -1.666666667z
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