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Simplifying 5w + -1w + 8 = 9w + 67 Reorder the terms: 8 + 5w + -1w = 9w + 67 Combine like terms: 5w + -1w = 4w 8 + 4w = 9w + 67 Reorder the terms: 8 + 4w = 67 + 9w Solving 8 + 4w = 67 + 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. 8 + 4w + -9w = 67 + 9w + -9w Combine like terms: 4w + -9w = -5w 8 + -5w = 67 + 9w + -9w Combine like terms: 9w + -9w = 0 8 + -5w = 67 + 0 8 + -5w = 67 Add '-8' to each side of the equation. 8 + -8 + -5w = 67 + -8 Combine like terms: 8 + -8 = 0 0 + -5w = 67 + -8 -5w = 67 + -8 Combine like terms: 67 + -8 = 59 -5w = 59 Divide each side by '-5'. w = -11.8 Simplifying w = -11.8
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