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Simplifying (5w + -24) + (2w + 13) = 156 Reorder the terms: (-24 + 5w) + (2w + 13) = 156 Remove parenthesis around (-24 + 5w) -24 + 5w + (2w + 13) = 156 Reorder the terms: -24 + 5w + (13 + 2w) = 156 Remove parenthesis around (13 + 2w) -24 + 5w + 13 + 2w = 156 Reorder the terms: -24 + 13 + 5w + 2w = 156 Combine like terms: -24 + 13 = -11 -11 + 5w + 2w = 156 Combine like terms: 5w + 2w = 7w -11 + 7w = 156 Solving -11 + 7w = 156 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7w = 156 + 11 Combine like terms: -11 + 11 = 0 0 + 7w = 156 + 11 7w = 156 + 11 Combine like terms: 156 + 11 = 167 7w = 167 Divide each side by '7'. w = 23.85714286 Simplifying w = 23.85714286
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