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Simplifying 11w + 8 = 4w + 38 Reorder the terms: 8 + 11w = 4w + 38 Reorder the terms: 8 + 11w = 38 + 4w Solving 8 + 11w = 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 + 11w + -4w = 38 + 4w + -4w Combine like terms: 11w + -4w = 7w 8 + 7w = 38 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + 7w = 38 + 0 8 + 7w = 38 Add '-8' to each side of the equation. 8 + -8 + 7w = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 7w = 38 + -8 7w = 38 + -8 Combine like terms: 38 + -8 = 30 7w = 30 Divide each side by '7'. w = 4.285714286 Simplifying w = 4.285714286
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