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Simplifying -4w + 7w + -2 + 5 = 27 Reorder the terms: -2 + 5 + -4w + 7w = 27 Combine like terms: -2 + 5 = 3 3 + -4w + 7w = 27 Combine like terms: -4w + 7w = 3w 3 + 3w = 27 Solving 3 + 3w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3w = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 3w = 27 + -3 3w = 27 + -3 Combine like terms: 27 + -3 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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