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Simplifying 7w + -2w + 8 = 4w + 38 Reorder the terms: 8 + 7w + -2w = 4w + 38 Combine like terms: 7w + -2w = 5w 8 + 5w = 4w + 38 Reorder the terms: 8 + 5w = 38 + 4w Solving 8 + 5w = 38 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 8 + 5w + -4w = 38 + 4w + -4w Combine like terms: 5w + -4w = 1w 8 + 1w = 38 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + 1w = 38 + 0 8 + 1w = 38 Add '-8' to each side of the equation. 8 + -8 + 1w = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 38 + -8 1w = 38 + -8 Combine like terms: 38 + -8 = 30 1w = 30 Divide each side by '1'. w = 30 Simplifying w = 30
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