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Simplifying 6w + -5 + 8w + -2w + -3 = 9w + -24 Reorder the terms: -5 + -3 + 6w + 8w + -2w = 9w + -24 Combine like terms: -5 + -3 = -8 -8 + 6w + 8w + -2w = 9w + -24 Combine like terms: 6w + 8w = 14w -8 + 14w + -2w = 9w + -24 Combine like terms: 14w + -2w = 12w -8 + 12w = 9w + -24 Reorder the terms: -8 + 12w = -24 + 9w Solving -8 + 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. -8 + 12w + -9w = -24 + 9w + -9w Combine like terms: 12w + -9w = 3w -8 + 3w = -24 + 9w + -9w Combine like terms: 9w + -9w = 0 -8 + 3w = -24 + 0 -8 + 3w = -24 Add '8' to each side of the equation. -8 + 8 + 3w = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = -24 + 8 3w = -24 + 8 Combine like terms: -24 + 8 = -16 3w = -16 Divide each side by '3'. w = -5.333333333 Simplifying w = -5.333333333
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