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Simplifying 2(w + 18) + 3w = 216 Reorder the terms: 2(18 + w) + 3w = 216 (18 * 2 + w * 2) + 3w = 216 (36 + 2w) + 3w = 216 Combine like terms: 2w + 3w = 5w 36 + 5w = 216 Solving 36 + 5w = 216 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 5w = 216 + -36 Combine like terms: 36 + -36 = 0 0 + 5w = 216 + -36 5w = 216 + -36 Combine like terms: 216 + -36 = 180 5w = 180 Divide each side by '5'. w = 36 Simplifying w = 36
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