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Simplifying 2w + 2(3w + 7) = 34 Reorder the terms: 2w + 2(7 + 3w) = 34 2w + (7 * 2 + 3w * 2) = 34 2w + (14 + 6w) = 34 Reorder the terms: 14 + 2w + 6w = 34 Combine like terms: 2w + 6w = 8w 14 + 8w = 34 Solving 14 + 8w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8w = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 8w = 34 + -14 8w = 34 + -14 Combine like terms: 34 + -14 = 20 8w = 20 Divide each side by '8'. w = 2.5 Simplifying w = 2.5
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