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Simplifying w + 92 = 6w + 82 Reorder the terms: 92 + w = 6w + 82 Reorder the terms: 92 + w = 82 + 6w Solving 92 + w = 82 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 92 + w + -6w = 82 + 6w + -6w Combine like terms: w + -6w = -5w 92 + -5w = 82 + 6w + -6w Combine like terms: 6w + -6w = 0 92 + -5w = 82 + 0 92 + -5w = 82 Add '-92' to each side of the equation. 92 + -92 + -5w = 82 + -92 Combine like terms: 92 + -92 = 0 0 + -5w = 82 + -92 -5w = 82 + -92 Combine like terms: 82 + -92 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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