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Simplifying 6w + -5 + 8w + -2w = 9w + -24 Reorder the terms: -5 + 6w + 8w + -2w = 9w + -24 Combine like terms: 6w + 8w = 14w -5 + 14w + -2w = 9w + -24 Combine like terms: 14w + -2w = 12w -5 + 12w = 9w + -24 Reorder the terms: -5 + 12w = -24 + 9w Solving -5 + 12w = -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. -5 + 12w + -9w = -24 + 9w + -9w Combine like terms: 12w + -9w = 3w -5 + 3w = -24 + 9w + -9w Combine like terms: 9w + -9w = 0 -5 + 3w = -24 + 0 -5 + 3w = -24 Add '5' to each side of the equation. -5 + 5 + 3w = -24 + 5 Combine like terms: -5 + 5 = 0 0 + 3w = -24 + 5 3w = -24 + 5 Combine like terms: -24 + 5 = -19 3w = -19 Divide each side by '3'. w = -6.333333333 Simplifying w = -6.333333333
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