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Simplifying -9w + 8 = 5w + 1 Reorder the terms: 8 + -9w = 5w + 1 Reorder the terms: 8 + -9w = 1 + 5w Solving 8 + -9w = 1 + 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. 8 + -9w + -5w = 1 + 5w + -5w Combine like terms: -9w + -5w = -14w 8 + -14w = 1 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -14w = 1 + 0 8 + -14w = 1 Add '-8' to each side of the equation. 8 + -8 + -14w = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -14w = 1 + -8 -14w = 1 + -8 Combine like terms: 1 + -8 = -7 -14w = -7 Divide each side by '-14'. w = 0.5 Simplifying w = 0.5
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