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Simplifying 2w + 2(2w + 1) = 40 Reorder the terms: 2w + 2(1 + 2w) = 40 2w + (1 * 2 + 2w * 2) = 40 2w + (2 + 4w) = 40 Reorder the terms: 2 + 2w + 4w = 40 Combine like terms: 2w + 4w = 6w 2 + 6w = 40 Solving 2 + 6w = 40 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 = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 6w = 40 + -2 6w = 40 + -2 Combine like terms: 40 + -2 = 38 6w = 38 Divide each side by '6'. w = 6.333333333 Simplifying w = 6.333333333
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