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Simplifying 82 = 9w + 10 Reorder the terms: 82 = 10 + 9w Solving 82 = 10 + 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. 82 + -9w = 10 + 9w + -9w Combine like terms: 9w + -9w = 0 82 + -9w = 10 + 0 82 + -9w = 10 Add '-82' to each side of the equation. 82 + -82 + -9w = 10 + -82 Combine like terms: 82 + -82 = 0 0 + -9w = 10 + -82 -9w = 10 + -82 Combine like terms: 10 + -82 = -72 -9w = -72 Divide each side by '-9'. w = 8 Simplifying w = 8
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