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