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Simplifying 7w + 9 = 2w + -11 Reorder the terms: 9 + 7w = 2w + -11 Reorder the terms: 9 + 7w = -11 + 2w Solving 9 + 7w = -11 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 9 + 7w + -2w = -11 + 2w + -2w Combine like terms: 7w + -2w = 5w 9 + 5w = -11 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + 5w = -11 + 0 9 + 5w = -11 Add '-9' to each side of the equation. 9 + -9 + 5w = -11 + -9 Combine like terms: 9 + -9 = 0 0 + 5w = -11 + -9 5w = -11 + -9 Combine like terms: -11 + -9 = -20 5w = -20 Divide each side by '5'. w = -4 Simplifying w = -4
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