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Simplifying 2(8 + 2w) + 2w = 46 (8 * 2 + 2w * 2) + 2w = 46 (16 + 4w) + 2w = 46 Combine like terms: 4w + 2w = 6w 16 + 6w = 46 Solving 16 + 6w = 46 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 = 46 + -16 Combine like terms: 16 + -16 = 0 0 + 6w = 46 + -16 6w = 46 + -16 Combine like terms: 46 + -16 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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