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Simplifying w + 81 = 9w + -7 Reorder the terms: 81 + w = 9w + -7 Reorder the terms: 81 + w = -7 + 9w Solving 81 + w = -7 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 81 + w + -9w = -7 + 9w + -9w Combine like terms: w + -9w = -8w 81 + -8w = -7 + 9w + -9w Combine like terms: 9w + -9w = 0 81 + -8w = -7 + 0 81 + -8w = -7 Add '-81' to each side of the equation. 81 + -81 + -8w = -7 + -81 Combine like terms: 81 + -81 = 0 0 + -8w = -7 + -81 -8w = -7 + -81 Combine like terms: -7 + -81 = -88 -8w = -88 Divide each side by '-8'. w = 11 Simplifying w = 11
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