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Simplifying 2(3w + 6) + -8w = 0 Reorder the terms: 2(6 + 3w) + -8w = 0 (6 * 2 + 3w * 2) + -8w = 0 (12 + 6w) + -8w = 0 Combine like terms: 6w + -8w = -2w 12 + -2w = 0 Solving 12 + -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 0 + -12 -2w = 0 + -12 Combine like terms: 0 + -12 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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