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Simplifying 82 = w + 47 Reorder the terms: 82 = 47 + w Solving 82 = 47 + 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. 82 + -1w = 47 + w + -1w Combine like terms: w + -1w = 0 82 + -1w = 47 + 0 82 + -1w = 47 Add '-82' to each side of the equation. 82 + -82 + -1w = 47 + -82 Combine like terms: 82 + -82 = 0 0 + -1w = 47 + -82 -1w = 47 + -82 Combine like terms: 47 + -82 = -35 -1w = -35 Divide each side by '-1'. w = 35 Simplifying w = 35
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