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Simplifying 2(2w + 6) + w * 2 = 228 Reorder the terms: 2(6 + 2w) + w * 2 = 228 (6 * 2 + 2w * 2) + w * 2 = 228 (12 + 4w) + w * 2 = 228 Reorder the terms for easier multiplication: 12 + 4w + 2w = 228 Combine like terms: 4w + 2w = 6w 12 + 6w = 228 Solving 12 + 6w = 228 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 + 6w = 228 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 228 + -12 6w = 228 + -12 Combine like terms: 228 + -12 = 216 6w = 216 Divide each side by '6'. w = 36 Simplifying w = 36
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