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Simplifying -5w + 8w + 3 = 2w + 24 + -3w Reorder the terms: 3 + -5w + 8w = 2w + 24 + -3w Combine like terms: -5w + 8w = 3w 3 + 3w = 2w + 24 + -3w Reorder the terms: 3 + 3w = 24 + 2w + -3w Combine like terms: 2w + -3w = -1w 3 + 3w = 24 + -1w Solving 3 + 3w = 24 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 3 + 3w + w = 24 + -1w + w Combine like terms: 3w + w = 4w 3 + 4w = 24 + -1w + w Combine like terms: -1w + w = 0 3 + 4w = 24 + 0 3 + 4w = 24 Add '-3' to each side of the equation. 3 + -3 + 4w = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 24 + -3 4w = 24 + -3 Combine like terms: 24 + -3 = 21 4w = 21 Divide each side by '4'. w = 5.25 Simplifying w = 5.25
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