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Simplifying 2(w + 11) + 2w = 86 Reorder the terms: 2(11 + w) + 2w = 86 (11 * 2 + w * 2) + 2w = 86 (22 + 2w) + 2w = 86 Combine like terms: 2w + 2w = 4w 22 + 4w = 86 Solving 22 + 4w = 86 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 4w = 86 + -22 Combine like terms: 22 + -22 = 0 0 + 4w = 86 + -22 4w = 86 + -22 Combine like terms: 86 + -22 = 64 4w = 64 Divide each side by '4'. w = 16 Simplifying w = 16
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