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Simplifying 6w + -5w + 8w + -2w + -3 = 9w + -24 Reorder the terms: -3 + 6w + -5w + 8w + -2w = 9w + -24 Combine like terms: 6w + -5w = 1w -3 + 1w + 8w + -2w = 9w + -24 Combine like terms: 1w + 8w = 9w -3 + 9w + -2w = 9w + -24 Combine like terms: 9w + -2w = 7w -3 + 7w = 9w + -24 Reorder the terms: -3 + 7w = -24 + 9w Solving -3 + 7w = -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. -3 + 7w + -9w = -24 + 9w + -9w Combine like terms: 7w + -9w = -2w -3 + -2w = -24 + 9w + -9w Combine like terms: 9w + -9w = 0 -3 + -2w = -24 + 0 -3 + -2w = -24 Add '3' to each side of the equation. -3 + 3 + -2w = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = -24 + 3 -2w = -24 + 3 Combine like terms: -24 + 3 = -21 -2w = -21 Divide each side by '-2'. w = 10.5 Simplifying w = 10.5
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