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Simplifying 2w + 2(2w + 9) = 34 Reorder the terms: 2w + 2(9 + 2w) = 34 2w + (9 * 2 + 2w * 2) = 34 2w + (18 + 4w) = 34 Reorder the terms: 18 + 2w + 4w = 34 Combine like terms: 2w + 4w = 6w 18 + 6w = 34 Solving 18 + 6w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6w = 34 + -18 Combine like terms: 18 + -18 = 0 0 + 6w = 34 + -18 6w = 34 + -18 Combine like terms: 34 + -18 = 16 6w = 16 Divide each side by '6'. w = 2.666666667 Simplifying w = 2.666666667
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