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Simplifying 3w + 9 + -11w = -23 Reorder the terms: 9 + 3w + -11w = -23 Combine like terms: 3w + -11w = -8w 9 + -8w = -23 Solving 9 + -8w = -23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8w = -23 + -9 Combine like terms: 9 + -9 = 0 0 + -8w = -23 + -9 -8w = -23 + -9 Combine like terms: -23 + -9 = -32 -8w = -32 Divide each side by '-8'. w = 4 Simplifying w = 4
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