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Simplifying 10w + 35 = 80 + w Reorder the terms: 35 + 10w = 80 + w Solving 35 + 10w = 80 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 35 + 10w + -1w = 80 + w + -1w Combine like terms: 10w + -1w = 9w 35 + 9w = 80 + w + -1w Combine like terms: w + -1w = 0 35 + 9w = 80 + 0 35 + 9w = 80 Add '-35' to each side of the equation. 35 + -35 + 9w = 80 + -35 Combine like terms: 35 + -35 = 0 0 + 9w = 80 + -35 9w = 80 + -35 Combine like terms: 80 + -35 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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