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Simplifying 4w + -12 + 5w = 51 Reorder the terms: -12 + 4w + 5w = 51 Combine like terms: 4w + 5w = 9w -12 + 9w = 51 Solving -12 + 9w = 51 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9w = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9w = 51 + 12 9w = 51 + 12 Combine like terms: 51 + 12 = 63 9w = 63 Divide each side by '9'. w = 7 Simplifying w = 7
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