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Simplifying 4(2w + 3) = 52 Reorder the terms: 4(3 + 2w) = 52 (3 * 4 + 2w * 4) = 52 (12 + 8w) = 52 Solving 12 + 8w = 52 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 + 8w = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 8w = 52 + -12 8w = 52 + -12 Combine like terms: 52 + -12 = 40 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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