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Simplifying 5w + 24 = -6w Reorder the terms: 24 + 5w = -6w Solving 24 + 5w = -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 24 + 5w + 6w = -6w + 6w Combine like terms: 5w + 6w = 11w 24 + 11w = -6w + 6w Combine like terms: -6w + 6w = 0 24 + 11w = 0 Add '-24' to each side of the equation. 24 + -24 + 11w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 11w = 0 + -24 11w = 0 + -24 Combine like terms: 0 + -24 = -24 11w = -24 Divide each side by '11'. w = -2.181818182 Simplifying w = -2.181818182
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