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Simplifying 2w + 2(2w + 10) = 34 Reorder the terms: 2w + 2(10 + 2w) = 34 2w + (10 * 2 + 2w * 2) = 34 2w + (20 + 4w) = 34 Reorder the terms: 20 + 2w + 4w = 34 Combine like terms: 2w + 4w = 6w 20 + 6w = 34 Solving 20 + 6w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6w = 34 + -20 Combine like terms: 20 + -20 = 0 0 + 6w = 34 + -20 6w = 34 + -20 Combine like terms: 34 + -20 = 14 6w = 14 Divide each side by '6'. w = 2.333333333 Simplifying w = 2.333333333
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