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Simplifying -42w + 8 = 82w + -2 Reorder the terms: 8 + -42w = 82w + -2 Reorder the terms: 8 + -42w = -2 + 82w Solving 8 + -42w = -2 + 82w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-82w' to each side of the equation. 8 + -42w + -82w = -2 + 82w + -82w Combine like terms: -42w + -82w = -124w 8 + -124w = -2 + 82w + -82w Combine like terms: 82w + -82w = 0 8 + -124w = -2 + 0 8 + -124w = -2 Add '-8' to each side of the equation. 8 + -8 + -124w = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -124w = -2 + -8 -124w = -2 + -8 Combine like terms: -2 + -8 = -10 -124w = -10 Divide each side by '-124'. w = 0.08064516129 Simplifying w = 0.08064516129
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