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Simplifying 2(w + (w + 4)) = 48 Reorder the terms: 2(w + (4 + w)) = 48 Remove parenthesis around (4 + w) 2(w + 4 + w) = 48 Reorder the terms: 2(4 + w + w) = 48 Combine like terms: w + w = 2w 2(4 + 2w) = 48 (4 * 2 + 2w * 2) = 48 (8 + 4w) = 48 Solving 8 + 4w = 48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4w = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 48 + -8 4w = 48 + -8 Combine like terms: 48 + -8 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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