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Simplifying 27 = 2w + 7w Combine like terms: 2w + 7w = 9w 27 = 9w Solving 27 = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 27 + -9w = 9w + -9w Combine like terms: 9w + -9w = 0 27 + -9w = 0 Add '-27' to each side of the equation. 27 + -27 + -9w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -9w = 0 + -27 -9w = 0 + -27 Combine like terms: 0 + -27 = -27 -9w = -27 Divide each side by '-9'. w = 3 Simplifying w = 3
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