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Simplifying 6w + -5 + 8 + -2w + -3 = 9w + -24 Reorder the terms: -5 + 8 + -3 + 6w + -2w = 9w + -24 Combine like terms: -5 + 8 = 3 3 + -3 + 6w + -2w = 9w + -24 Combine like terms: 3 + -3 = 0 0 + 6w + -2w = 9w + -24 6w + -2w = 9w + -24 Combine like terms: 6w + -2w = 4w 4w = 9w + -24 Reorder the terms: 4w = -24 + 9w Solving 4w = -24 + 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. 4w + -9w = -24 + 9w + -9w Combine like terms: 4w + -9w = -5w -5w = -24 + 9w + -9w Combine like terms: 9w + -9w = 0 -5w = -24 + 0 -5w = -24 Divide each side by '-5'. w = 4.8 Simplifying w = 4.8
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