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Simplifying (2w + 11) + 71 = 180 Reorder the terms: (11 + 2w) + 71 = 180 Remove parenthesis around (11 + 2w) 11 + 2w + 71 = 180 Reorder the terms: 11 + 71 + 2w = 180 Combine like terms: 11 + 71 = 82 82 + 2w = 180 Solving 82 + 2w = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 2w = 180 + -82 Combine like terms: 82 + -82 = 0 0 + 2w = 180 + -82 2w = 180 + -82 Combine like terms: 180 + -82 = 98 2w = 98 Divide each side by '2'. w = 49 Simplifying w = 49
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