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Simplifying 7w + 60 = 5w + 120 Reorder the terms: 60 + 7w = 5w + 120 Reorder the terms: 60 + 7w = 120 + 5w Solving 60 + 7w = 120 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 60 + 7w + -5w = 120 + 5w + -5w Combine like terms: 7w + -5w = 2w 60 + 2w = 120 + 5w + -5w Combine like terms: 5w + -5w = 0 60 + 2w = 120 + 0 60 + 2w = 120 Add '-60' to each side of the equation. 60 + -60 + 2w = 120 + -60 Combine like terms: 60 + -60 = 0 0 + 2w = 120 + -60 2w = 120 + -60 Combine like terms: 120 + -60 = 60 2w = 60 Divide each side by '2'. w = 30 Simplifying w = 30
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