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Simplifying 2w + 2(2w + 5) = 38 Reorder the terms: 2w + 2(5 + 2w) = 38 2w + (5 * 2 + 2w * 2) = 38 2w + (10 + 4w) = 38 Reorder the terms: 10 + 2w + 4w = 38 Combine like terms: 2w + 4w = 6w 10 + 6w = 38 Solving 10 + 6w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6w = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = 38 + -10 6w = 38 + -10 Combine like terms: 38 + -10 = 28 6w = 28 Divide each side by '6'. w = 4.666666667 Simplifying w = 4.666666667
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