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Simplifying 6w + -11w + -17 = 82 Reorder the terms: -17 + 6w + -11w = 82 Combine like terms: 6w + -11w = -5w -17 + -5w = 82 Solving -17 + -5w = 82 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -5w = 82 + 17 Combine like terms: -17 + 17 = 0 0 + -5w = 82 + 17 -5w = 82 + 17 Combine like terms: 82 + 17 = 99 -5w = 99 Divide each side by '-5'. w = -19.8 Simplifying w = -19.8
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