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Simplifying 2w + 3w + 12 = 27 Reorder the terms: 12 + 2w + 3w = 27 Combine like terms: 2w + 3w = 5w 12 + 5w = 27 Solving 12 + 5w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5w = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = 27 + -12 5w = 27 + -12 Combine like terms: 27 + -12 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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