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Simplifying 7w + 85 = 9w + 65 Reorder the terms: 85 + 7w = 9w + 65 Reorder the terms: 85 + 7w = 65 + 9w Solving 85 + 7w = 65 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 85 + 7w + -9w = 65 + 9w + -9w Combine like terms: 7w + -9w = -2w 85 + -2w = 65 + 9w + -9w Combine like terms: 9w + -9w = 0 85 + -2w = 65 + 0 85 + -2w = 65 Add '-85' to each side of the equation. 85 + -85 + -2w = 65 + -85 Combine like terms: 85 + -85 = 0 0 + -2w = 65 + -85 -2w = 65 + -85 Combine like terms: 65 + -85 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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