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Simplifying 2(2w + 1) + 2w = 49 Reorder the terms: 2(1 + 2w) + 2w = 49 (1 * 2 + 2w * 2) + 2w = 49 (2 + 4w) + 2w = 49 Combine like terms: 4w + 2w = 6w 2 + 6w = 49 Solving 2 + 6w = 49 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 + 6w = 49 + -2 Combine like terms: 2 + -2 = 0 0 + 6w = 49 + -2 6w = 49 + -2 Combine like terms: 49 + -2 = 47 6w = 47 Divide each side by '6'. w = 7.833333333 Simplifying w = 7.833333333
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