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Simplifying 2(w + 6) + 2(w) = 44 Reorder the terms: 2(6 + w) + 2(w) = 44 (6 * 2 + w * 2) + 2(w) = 44 (12 + 2w) + 2(w) = 44 Combine like terms: 2w + 2w = 4w 12 + 4w = 44 Solving 12 + 4w = 44 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 + 4w = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 44 + -12 4w = 44 + -12 Combine like terms: 44 + -12 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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