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Simplifying 7w + 1 + -5w = 21 Reorder the terms: 1 + 7w + -5w = 21 Combine like terms: 7w + -5w = 2w 1 + 2w = 21 Solving 1 + 2w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2w = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 21 + -1 2w = 21 + -1 Combine like terms: 21 + -1 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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