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Simplifying 2(2w + 6) + 2w = 24 Reorder the terms: 2(6 + 2w) + 2w = 24 (6 * 2 + 2w * 2) + 2w = 24 (12 + 4w) + 2w = 24 Combine like terms: 4w + 2w = 6w 12 + 6w = 24 Solving 12 + 6w = 24 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 + 6w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 24 + -12 6w = 24 + -12 Combine like terms: 24 + -12 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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