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Simplifying (w + 12) + (5w + 15) + (3w + -9) = 180 Reorder the terms: (12 + w) + (5w + 15) + (3w + -9) = 180 Remove parenthesis around (12 + w) 12 + w + (5w + 15) + (3w + -9) = 180 Reorder the terms: 12 + w + (15 + 5w) + (3w + -9) = 180 Remove parenthesis around (15 + 5w) 12 + w + 15 + 5w + (3w + -9) = 180 Reorder the terms: 12 + w + 15 + 5w + (-9 + 3w) = 180 Remove parenthesis around (-9 + 3w) 12 + w + 15 + 5w + -9 + 3w = 180 Reorder the terms: 12 + 15 + -9 + w + 5w + 3w = 180 Combine like terms: 12 + 15 = 27 27 + -9 + w + 5w + 3w = 180 Combine like terms: 27 + -9 = 18 18 + w + 5w + 3w = 180 Combine like terms: w + 5w = 6w 18 + 6w + 3w = 180 Combine like terms: 6w + 3w = 9w 18 + 9w = 180 Solving 18 + 9w = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9w = 180 + -18 Combine like terms: 18 + -18 = 0 0 + 9w = 180 + -18 9w = 180 + -18 Combine like terms: 180 + -18 = 162 9w = 162 Divide each side by '9'. w = 18 Simplifying w = 18
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