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Simplifying 27 = 9w + -6w Combine like terms: 9w + -6w = 3w 27 = 3w Solving 27 = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 27 + -3w = 3w + -3w Combine like terms: 3w + -3w = 0 27 + -3w = 0 Add '-27' to each side of the equation. 27 + -27 + -3w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -3w = 0 + -27 -3w = 0 + -27 Combine like terms: 0 + -27 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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