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Simplifying 2w + 4(w + 5) = 38 Reorder the terms: 2w + 4(5 + w) = 38 2w + (5 * 4 + w * 4) = 38 2w + (20 + 4w) = 38 Reorder the terms: 20 + 2w + 4w = 38 Combine like terms: 2w + 4w = 6w 20 + 6w = 38 Solving 20 + 6w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6w = 38 + -20 Combine like terms: 20 + -20 = 0 0 + 6w = 38 + -20 6w = 38 + -20 Combine like terms: 38 + -20 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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