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Simplifying 4w + 5 = 8 + -9w Reorder the terms: 5 + 4w = 8 + -9w Solving 5 + 4w = 8 + -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. 5 + 4w + 9w = 8 + -9w + 9w Combine like terms: 4w + 9w = 13w 5 + 13w = 8 + -9w + 9w Combine like terms: -9w + 9w = 0 5 + 13w = 8 + 0 5 + 13w = 8 Add '-5' to each side of the equation. 5 + -5 + 13w = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 13w = 8 + -5 13w = 8 + -5 Combine like terms: 8 + -5 = 3 13w = 3 Divide each side by '13'. w = 0.2307692308 Simplifying w = 0.2307692308
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