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Simplifying w + 2 = -43 + -8w Reorder the terms: 2 + w = -43 + -8w Solving 2 + w = -43 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 2 + w + 8w = -43 + -8w + 8w Combine like terms: w + 8w = 9w 2 + 9w = -43 + -8w + 8w Combine like terms: -8w + 8w = 0 2 + 9w = -43 + 0 2 + 9w = -43 Add '-2' to each side of the equation. 2 + -2 + 9w = -43 + -2 Combine like terms: 2 + -2 = 0 0 + 9w = -43 + -2 9w = -43 + -2 Combine like terms: -43 + -2 = -45 9w = -45 Divide each side by '9'. w = -5 Simplifying w = -5
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