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Simplifying 6w + 5(w + 1) = 17 Reorder the terms: 6w + 5(1 + w) = 17 6w + (1 * 5 + w * 5) = 17 6w + (5 + 5w) = 17 Reorder the terms: 5 + 6w + 5w = 17 Combine like terms: 6w + 5w = 11w 5 + 11w = 17 Solving 5 + 11w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11w = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 11w = 17 + -5 11w = 17 + -5 Combine like terms: 17 + -5 = 12 11w = 12 Divide each side by '11'. w = 1.090909091 Simplifying w = 1.090909091
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