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Simplifying 11w + 17 = 6w + 27 Reorder the terms: 17 + 11w = 6w + 27 Reorder the terms: 17 + 11w = 27 + 6w Solving 17 + 11w = 27 + 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. 17 + 11w + -6w = 27 + 6w + -6w Combine like terms: 11w + -6w = 5w 17 + 5w = 27 + 6w + -6w Combine like terms: 6w + -6w = 0 17 + 5w = 27 + 0 17 + 5w = 27 Add '-17' to each side of the equation. 17 + -17 + 5w = 27 + -17 Combine like terms: 17 + -17 = 0 0 + 5w = 27 + -17 5w = 27 + -17 Combine like terms: 27 + -17 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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