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Simplifying 6w + 5(w + 2) = 23 Reorder the terms: 6w + 5(2 + w) = 23 6w + (2 * 5 + w * 5) = 23 6w + (10 + 5w) = 23 Reorder the terms: 10 + 6w + 5w = 23 Combine like terms: 6w + 5w = 11w 10 + 11w = 23 Solving 10 + 11w = 23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11w = 23 + -10 Combine like terms: 10 + -10 = 0 0 + 11w = 23 + -10 11w = 23 + -10 Combine like terms: 23 + -10 = 13 11w = 13 Divide each side by '11'. w = 1.181818182 Simplifying w = 1.181818182
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