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Simplifying 4w + -21 + 5w = 51 Reorder the terms: -21 + 4w + 5w = 51 Combine like terms: 4w + 5w = 9w -21 + 9w = 51 Solving -21 + 9w = 51 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 9w = 51 + 21 Combine like terms: -21 + 21 = 0 0 + 9w = 51 + 21 9w = 51 + 21 Combine like terms: 51 + 21 = 72 9w = 72 Divide each side by '9'. w = 8 Simplifying w = 8
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