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Simplifying 8w + 50 = 7w + 85 Reorder the terms: 50 + 8w = 7w + 85 Reorder the terms: 50 + 8w = 85 + 7w Solving 50 + 8w = 85 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 50 + 8w + -7w = 85 + 7w + -7w Combine like terms: 8w + -7w = 1w 50 + 1w = 85 + 7w + -7w Combine like terms: 7w + -7w = 0 50 + 1w = 85 + 0 50 + 1w = 85 Add '-50' to each side of the equation. 50 + -50 + 1w = 85 + -50 Combine like terms: 50 + -50 = 0 0 + 1w = 85 + -50 1w = 85 + -50 Combine like terms: 85 + -50 = 35 1w = 35 Divide each side by '1'. w = 35 Simplifying w = 35
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