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Simplifying 2(w + 7) + 2w = 114 Reorder the terms: 2(7 + w) + 2w = 114 (7 * 2 + w * 2) + 2w = 114 (14 + 2w) + 2w = 114 Combine like terms: 2w + 2w = 4w 14 + 4w = 114 Solving 14 + 4w = 114 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 + 4w = 114 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = 114 + -14 4w = 114 + -14 Combine like terms: 114 + -14 = 100 4w = 100 Divide each side by '4'. w = 25 Simplifying w = 25
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