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Simplifying 5w + 2 + 7w = 50 Reorder the terms: 2 + 5w + 7w = 50 Combine like terms: 5w + 7w = 12w 2 + 12w = 50 Solving 2 + 12w = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12w = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 12w = 50 + -2 12w = 50 + -2 Combine like terms: 50 + -2 = 48 12w = 48 Divide each side by '12'. w = 4 Simplifying w = 4
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