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Simplifying (4w + 8) + (2w + 11) + (4w + 4) = 180 Reorder the terms: (8 + 4w) + (2w + 11) + (4w + 4) = 180 Remove parenthesis around (8 + 4w) 8 + 4w + (2w + 11) + (4w + 4) = 180 Reorder the terms: 8 + 4w + (11 + 2w) + (4w + 4) = 180 Remove parenthesis around (11 + 2w) 8 + 4w + 11 + 2w + (4w + 4) = 180 Reorder the terms: 8 + 4w + 11 + 2w + (4 + 4w) = 180 Remove parenthesis around (4 + 4w) 8 + 4w + 11 + 2w + 4 + 4w = 180 Reorder the terms: 8 + 11 + 4 + 4w + 2w + 4w = 180 Combine like terms: 8 + 11 = 19 19 + 4 + 4w + 2w + 4w = 180 Combine like terms: 19 + 4 = 23 23 + 4w + 2w + 4w = 180 Combine like terms: 4w + 2w = 6w 23 + 6w + 4w = 180 Combine like terms: 6w + 4w = 10w 23 + 10w = 180 Solving 23 + 10w = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 10w = 180 + -23 Combine like terms: 23 + -23 = 0 0 + 10w = 180 + -23 10w = 180 + -23 Combine like terms: 180 + -23 = 157 10w = 157 Divide each side by '10'. w = 15.7 Simplifying w = 15.7
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