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Simplifying 2w + 2(2w + -10) = 40 Reorder the terms: 2w + 2(-10 + 2w) = 40 2w + (-10 * 2 + 2w * 2) = 40 2w + (-20 + 4w) = 40 Reorder the terms: -20 + 2w + 4w = 40 Combine like terms: 2w + 4w = 6w -20 + 6w = 40 Solving -20 + 6w = 40 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 = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 6w = 40 + 20 6w = 40 + 20 Combine like terms: 40 + 20 = 60 6w = 60 Divide each side by '6'. w = 10 Simplifying w = 10
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