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Simplifying (3w + -8z) * 2 = 0 Reorder the terms for easier multiplication: 2(3w + -8z) = 0 (3w * 2 + -8z * 2) = 0 (6w + -16z) = 0 Solving 6w + -16z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16z' to each side of the equation. 6w + -16z + 16z = 0 + 16z Combine like terms: -16z + 16z = 0 6w + 0 = 0 + 16z 6w = 0 + 16z Remove the zero: 6w = 16z Divide each side by '6'. w = 2.666666667z Simplifying w = 2.666666667z
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