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Simplifying 2w + 2(3w + 1) = 50 Reorder the terms: 2w + 2(1 + 3w) = 50 2w + (1 * 2 + 3w * 2) = 50 2w + (2 + 6w) = 50 Reorder the terms: 2 + 2w + 6w = 50 Combine like terms: 2w + 6w = 8w 2 + 8w = 50 Solving 2 + 8w = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8w = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 8w = 50 + -2 8w = 50 + -2 Combine like terms: 50 + -2 = 48 8w = 48 Divide each side by '8'. w = 6 Simplifying w = 6
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