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Simplifying -81w + -11w + -9w + 23w + -1w + 6 = 85 Reorder the terms: 6 + -81w + -11w + -9w + 23w + -1w = 85 Combine like terms: -81w + -11w = -92w 6 + -92w + -9w + 23w + -1w = 85 Combine like terms: -92w + -9w = -101w 6 + -101w + 23w + -1w = 85 Combine like terms: -101w + 23w = -78w 6 + -78w + -1w = 85 Combine like terms: -78w + -1w = -79w 6 + -79w = 85 Solving 6 + -79w = 85 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -79w = 85 + -6 Combine like terms: 6 + -6 = 0 0 + -79w = 85 + -6 -79w = 85 + -6 Combine like terms: 85 + -6 = 79 -79w = 79 Divide each side by '-79'. w = -1 Simplifying w = -1
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