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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 = 48 6w = 48 Divide each side by '6'. w = 8 Simplifying w = 8
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