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Simplifying 2(4w + 3) + 2w = 56 Reorder the terms: 2(3 + 4w) + 2w = 56 (3 * 2 + 4w * 2) + 2w = 56 (6 + 8w) + 2w = 56 Combine like terms: 8w + 2w = 10w 6 + 10w = 56 Solving 6 + 10w = 56 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 10w = 56 + -6 Combine like terms: 6 + -6 = 0 0 + 10w = 56 + -6 10w = 56 + -6 Combine like terms: 56 + -6 = 50 10w = 50 Divide each side by '10'. w = 5 Simplifying w = 5
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