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Simplifying 2w + 9 = -2 + -7w Reorder the terms: 9 + 2w = -2 + -7w Solving 9 + 2w = -2 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 9 + 2w + 7w = -2 + -7w + 7w Combine like terms: 2w + 7w = 9w 9 + 9w = -2 + -7w + 7w Combine like terms: -7w + 7w = 0 9 + 9w = -2 + 0 9 + 9w = -2 Add '-9' to each side of the equation. 9 + -9 + 9w = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 9w = -2 + -9 9w = -2 + -9 Combine like terms: -2 + -9 = -11 9w = -11 Divide each side by '9'. w = -1.222222222 Simplifying w = -1.222222222
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