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Simplifying 2(2w + 8) + 2w = 76 Reorder the terms: 2(8 + 2w) + 2w = 76 (8 * 2 + 2w * 2) + 2w = 76 (16 + 4w) + 2w = 76 Combine like terms: 4w + 2w = 6w 16 + 6w = 76 Solving 16 + 6w = 76 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6w = 76 + -16 Combine like terms: 16 + -16 = 0 0 + 6w = 76 + -16 6w = 76 + -16 Combine like terms: 76 + -16 = 60 6w = 60 Divide each side by '6'. w = 10 Simplifying w = 10
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