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Simplifying 2(w + 4) = 7W + 38 Reorder the terms: 2(4 + w) = 7W + 38 (4 * 2 + w * 2) = 7W + 38 (8 + 2w) = 7W + 38 Reorder the terms: 8 + 2w = 38 + 7W Solving 8 + 2w = 38 + 7W 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 + 2w = 38 + -8 + 7W Combine like terms: 8 + -8 = 0 0 + 2w = 38 + -8 + 7W 2w = 38 + -8 + 7W Combine like terms: 38 + -8 = 30 2w = 30 + 7W Divide each side by '2'. w = 15 + 3.5W Simplifying w = 15 + 3.5W
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