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Simplifying -8w + -17 = 6w + -31 Reorder the terms: -17 + -8w = 6w + -31 Reorder the terms: -17 + -8w = -31 + 6w Solving -17 + -8w = -31 + 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 + -8w + -6w = -31 + 6w + -6w Combine like terms: -8w + -6w = -14w -17 + -14w = -31 + 6w + -6w Combine like terms: 6w + -6w = 0 -17 + -14w = -31 + 0 -17 + -14w = -31 Add '17' to each side of the equation. -17 + 17 + -14w = -31 + 17 Combine like terms: -17 + 17 = 0 0 + -14w = -31 + 17 -14w = -31 + 17 Combine like terms: -31 + 17 = -14 -14w = -14 Divide each side by '-14'. w = 1 Simplifying w = 1
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