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Simplifying w + -9w + 13 = 12 + -5w + -4w Reorder the terms: 13 + w + -9w = 12 + -5w + -4w Combine like terms: w + -9w = -8w 13 + -8w = 12 + -5w + -4w Combine like terms: -5w + -4w = -9w 13 + -8w = 12 + -9w Solving 13 + -8w = 12 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 13 + -8w + 9w = 12 + -9w + 9w Combine like terms: -8w + 9w = 1w 13 + 1w = 12 + -9w + 9w Combine like terms: -9w + 9w = 0 13 + 1w = 12 + 0 13 + 1w = 12 Add '-13' to each side of the equation. 13 + -13 + 1w = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 1w = 12 + -13 1w = 12 + -13 Combine like terms: 12 + -13 = -1 1w = -1 Divide each side by '1'. w = -1 Simplifying w = -1
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