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Simplifying 82 = -1w + 290 Reorder the terms: 82 = 290 + -1w Solving 82 = 290 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 82 + w = 290 + -1w + w Combine like terms: -1w + w = 0 82 + w = 290 + 0 82 + w = 290 Add '-82' to each side of the equation. 82 + -82 + w = 290 + -82 Combine like terms: 82 + -82 = 0 0 + w = 290 + -82 w = 290 + -82 Combine like terms: 290 + -82 = 208 w = 208 Simplifying w = 208
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