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Simplifying -2 + -13w + 8 = -13 + -14w Reorder the terms: -2 + 8 + -13w = -13 + -14w Combine like terms: -2 + 8 = 6 6 + -13w = -13 + -14w Solving 6 + -13w = -13 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. 6 + -13w + 14w = -13 + -14w + 14w Combine like terms: -13w + 14w = 1w 6 + 1w = -13 + -14w + 14w Combine like terms: -14w + 14w = 0 6 + 1w = -13 + 0 6 + 1w = -13 Add '-6' to each side of the equation. 6 + -6 + 1w = -13 + -6 Combine like terms: 6 + -6 = 0 0 + 1w = -13 + -6 1w = -13 + -6 Combine like terms: -13 + -6 = -19 1w = -19 Divide each side by '1'. w = -19 Simplifying w = -19
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