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Simplifying 27 = 3(w + 4) + 2w Reorder the terms: 27 = 3(4 + w) + 2w 27 = (4 * 3 + w * 3) + 2w 27 = (12 + 3w) + 2w Combine like terms: 3w + 2w = 5w 27 = 12 + 5w Solving 27 = 12 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 27 + -5w = 12 + 5w + -5w Combine like terms: 5w + -5w = 0 27 + -5w = 12 + 0 27 + -5w = 12 Add '-27' to each side of the equation. 27 + -27 + -5w = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5w = 12 + -27 -5w = 12 + -27 Combine like terms: 12 + -27 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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