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Simplifying 31 + 12 = w + 34 Combine like terms: 31 + 12 = 43 43 = w + 34 Reorder the terms: 43 = 34 + w Solving 43 = 34 + 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. 43 + -1w = 34 + w + -1w Combine like terms: w + -1w = 0 43 + -1w = 34 + 0 43 + -1w = 34 Add '-43' to each side of the equation. 43 + -43 + -1w = 34 + -43 Combine like terms: 43 + -43 = 0 0 + -1w = 34 + -43 -1w = 34 + -43 Combine like terms: 34 + -43 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9
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