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Simplifying 8(2 + w) = 7(4 + W) (2 * 8 + w * 8) = 7(4 + W) (16 + 8w) = 7(4 + W) 16 + 8w = (4 * 7 + W * 7) 16 + 8w = (28 + 7W) Solving 16 + 8w = 28 + 7W Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8w = 28 + -16 + 7W Combine like terms: 16 + -16 = 0 0 + 8w = 28 + -16 + 7W 8w = 28 + -16 + 7W Combine like terms: 28 + -16 = 12 8w = 12 + 7W Divide each side by '8'. w = 1.5 + 0.875W Simplifying w = 1.5 + 0.875W
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