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Simplifying 10000w + -666 = 50(666 + w) Reorder the terms: -666 + 10000w = 50(666 + w) -666 + 10000w = (666 * 50 + w * 50) -666 + 10000w = (33300 + 50w) Solving -666 + 10000w = 33300 + 50w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-50w' to each side of the equation. -666 + 10000w + -50w = 33300 + 50w + -50w Combine like terms: 10000w + -50w = 9950w -666 + 9950w = 33300 + 50w + -50w Combine like terms: 50w + -50w = 0 -666 + 9950w = 33300 + 0 -666 + 9950w = 33300 Add '666' to each side of the equation. -666 + 666 + 9950w = 33300 + 666 Combine like terms: -666 + 666 = 0 0 + 9950w = 33300 + 666 9950w = 33300 + 666 Combine like terms: 33300 + 666 = 33966 9950w = 33966 Divide each side by '9950'. w = 3.413668342 Simplifying w = 3.413668342
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