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Simplifying -82 = 6w + -11w + -17 Reorder the terms: -82 = -17 + 6w + -11w Combine like terms: 6w + -11w = -5w -82 = -17 + -5w Solving -82 = -17 + -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. -82 + 5w = -17 + -5w + 5w Combine like terms: -5w + 5w = 0 -82 + 5w = -17 + 0 -82 + 5w = -17 Add '82' to each side of the equation. -82 + 82 + 5w = -17 + 82 Combine like terms: -82 + 82 = 0 0 + 5w = -17 + 82 5w = -17 + 82 Combine like terms: -17 + 82 = 65 5w = 65 Divide each side by '5'. w = 13 Simplifying w = 13
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