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Simplifying 27 = -5w + 9w + 7 Reorder the terms: 27 = 7 + -5w + 9w Combine like terms: -5w + 9w = 4w 27 = 7 + 4w Solving 27 = 7 + 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. 27 + -4w = 7 + 4w + -4w Combine like terms: 4w + -4w = 0 27 + -4w = 7 + 0 27 + -4w = 7 Add '-27' to each side of the equation. 27 + -27 + -4w = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -4w = 7 + -27 -4w = 7 + -27 Combine like terms: 7 + -27 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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