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Simplifying 3(2w + 8) = 0 Reorder the terms: 3(8 + 2w) = 0 (8 * 3 + 2w * 3) = 0 (24 + 6w) = 0 Solving 24 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6w = 0 + -24 6w = 0 + -24 Combine like terms: 0 + -24 = -24 6w = -24 Divide each side by '6'. w = -4 Simplifying w = -4
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