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Simplifying 2w + 2(2w + 7) = 22 Reorder the terms: 2w + 2(7 + 2w) = 22 2w + (7 * 2 + 2w * 2) = 22 2w + (14 + 4w) = 22 Reorder the terms: 14 + 2w + 4w = 22 Combine like terms: 2w + 4w = 6w 14 + 6w = 22 Solving 14 + 6w = 22 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 + 6w = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 6w = 22 + -14 6w = 22 + -14 Combine like terms: 22 + -14 = 8 6w = 8 Divide each side by '6'. w = 1.333333333 Simplifying w = 1.333333333
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