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Simplifying (10w + 120) + (45w + 25) = 0 Reorder the terms: (120 + 10w) + (45w + 25) = 0 Remove parenthesis around (120 + 10w) 120 + 10w + (45w + 25) = 0 Reorder the terms: 120 + 10w + (25 + 45w) = 0 Remove parenthesis around (25 + 45w) 120 + 10w + 25 + 45w = 0 Reorder the terms: 120 + 25 + 10w + 45w = 0 Combine like terms: 120 + 25 = 145 145 + 10w + 45w = 0 Combine like terms: 10w + 45w = 55w 145 + 55w = 0 Solving 145 + 55w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + 55w = 0 + -145 Combine like terms: 145 + -145 = 0 0 + 55w = 0 + -145 55w = 0 + -145 Combine like terms: 0 + -145 = -145 55w = -145 Divide each side by '55'. w = -2.636363636 Simplifying w = -2.636363636
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