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Simplifying 5000 = 2(w + 30) + 2(20) Reorder the terms: 5000 = 2(30 + w) + 2(20) 5000 = (30 * 2 + w * 2) + 2(20) 5000 = (60 + 2w) + 2(20) Multiply 2 * 20 5000 = 60 + 2w + 40 Reorder the terms: 5000 = 60 + 40 + 2w Combine like terms: 60 + 40 = 100 5000 = 100 + 2w Solving 5000 = 100 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 5000 + -2w = 100 + 2w + -2w Combine like terms: 2w + -2w = 0 5000 + -2w = 100 + 0 5000 + -2w = 100 Add '-5000' to each side of the equation. 5000 + -5000 + -2w = 100 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -2w = 100 + -5000 -2w = 100 + -5000 Combine like terms: 100 + -5000 = -4900 -2w = -4900 Divide each side by '-2'. w = 2450 Simplifying w = 2450
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