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Simplifying 55w + 25 = 63w + 41 Reorder the terms: 25 + 55w = 63w + 41 Reorder the terms: 25 + 55w = 41 + 63w Solving 25 + 55w = 41 + 63w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-63w' to each side of the equation. 25 + 55w + -63w = 41 + 63w + -63w Combine like terms: 55w + -63w = -8w 25 + -8w = 41 + 63w + -63w Combine like terms: 63w + -63w = 0 25 + -8w = 41 + 0 25 + -8w = 41 Add '-25' to each side of the equation. 25 + -25 + -8w = 41 + -25 Combine like terms: 25 + -25 = 0 0 + -8w = 41 + -25 -8w = 41 + -25 Combine like terms: 41 + -25 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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