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Simplifying (5w + 24) + (2w + 13) = 155 Reorder the terms: (24 + 5w) + (2w + 13) = 155 Remove parenthesis around (24 + 5w) 24 + 5w + (2w + 13) = 155 Reorder the terms: 24 + 5w + (13 + 2w) = 155 Remove parenthesis around (13 + 2w) 24 + 5w + 13 + 2w = 155 Reorder the terms: 24 + 13 + 5w + 2w = 155 Combine like terms: 24 + 13 = 37 37 + 5w + 2w = 155 Combine like terms: 5w + 2w = 7w 37 + 7w = 155 Solving 37 + 7w = 155 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 7w = 155 + -37 Combine like terms: 37 + -37 = 0 0 + 7w = 155 + -37 7w = 155 + -37 Combine like terms: 155 + -37 = 118 7w = 118 Divide each side by '7'. w = 16.85714286 Simplifying w = 16.85714286
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