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Simplifying 2w + 2(5 + w) = 150 2w + (5 * 2 + w * 2) = 150 2w + (10 + 2w) = 150 Reorder the terms: 10 + 2w + 2w = 150 Combine like terms: 2w + 2w = 4w 10 + 4w = 150 Solving 10 + 4w = 150 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 + 4w = 150 + -10 Combine like terms: 10 + -10 = 0 0 + 4w = 150 + -10 4w = 150 + -10 Combine like terms: 150 + -10 = 140 4w = 140 Divide each side by '4'. w = 35 Simplifying w = 35
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