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Simplifying 53 + 24 + -5w = 102 Combine like terms: 53 + 24 = 77 77 + -5w = 102 Solving 77 + -5w = 102 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -5w = 102 + -77 Combine like terms: 77 + -77 = 0 0 + -5w = 102 + -77 -5w = 102 + -77 Combine like terms: 102 + -77 = 25 -5w = 25 Divide each side by '-5'. w = -5 Simplifying w = -5
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