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Simplifying 2w + 2(2w + 5) = 46 Reorder the terms: 2w + 2(5 + 2w) = 46 2w + (5 * 2 + 2w * 2) = 46 2w + (10 + 4w) = 46 Reorder the terms: 10 + 2w + 4w = 46 Combine like terms: 2w + 4w = 6w 10 + 6w = 46 Solving 10 + 6w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6w = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = 46 + -10 6w = 46 + -10 Combine like terms: 46 + -10 = 36 6w = 36 Divide each side by '6'. w = 6 Simplifying w = 6
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