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Simplifying 46 = w + -49 Reorder the terms: 46 = -49 + w Solving 46 = -49 + 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. 46 + -1w = -49 + w + -1w Combine like terms: w + -1w = 0 46 + -1w = -49 + 0 46 + -1w = -49 Add '-46' to each side of the equation. 46 + -46 + -1w = -49 + -46 Combine like terms: 46 + -46 = 0 0 + -1w = -49 + -46 -1w = -49 + -46 Combine like terms: -49 + -46 = -95 -1w = -95 Divide each side by '-1'. w = 95 Simplifying w = 95
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