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Simplifying 2w + 4w + -50 = w + 50 Reorder the terms: -50 + 2w + 4w = w + 50 Combine like terms: 2w + 4w = 6w -50 + 6w = w + 50 Reorder the terms: -50 + 6w = 50 + w Solving -50 + 6w = 50 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -50 + 6w + -1w = 50 + w + -1w Combine like terms: 6w + -1w = 5w -50 + 5w = 50 + w + -1w Combine like terms: w + -1w = 0 -50 + 5w = 50 + 0 -50 + 5w = 50 Add '50' to each side of the equation. -50 + 50 + 5w = 50 + 50 Combine like terms: -50 + 50 = 0 0 + 5w = 50 + 50 5w = 50 + 50 Combine like terms: 50 + 50 = 100 5w = 100 Divide each side by '5'. w = 20 Simplifying w = 20
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