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Simplifying 11w + -9 = 5w + 27 Reorder the terms: -9 + 11w = 5w + 27 Reorder the terms: -9 + 11w = 27 + 5w Solving -9 + 11w = 27 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -9 + 11w + -5w = 27 + 5w + -5w Combine like terms: 11w + -5w = 6w -9 + 6w = 27 + 5w + -5w Combine like terms: 5w + -5w = 0 -9 + 6w = 27 + 0 -9 + 6w = 27 Add '9' to each side of the equation. -9 + 9 + 6w = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 6w = 27 + 9 6w = 27 + 9 Combine like terms: 27 + 9 = 36 6w = 36 Divide each side by '6'. w = 6 Simplifying w = 6
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