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Simplifying 9w + -9 + -6 = 10 + 4w Reorder the terms: -9 + -6 + 9w = 10 + 4w Combine like terms: -9 + -6 = -15 -15 + 9w = 10 + 4w Solving -15 + 9w = 10 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -15 + 9w + -4w = 10 + 4w + -4w Combine like terms: 9w + -4w = 5w -15 + 5w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 -15 + 5w = 10 + 0 -15 + 5w = 10 Add '15' to each side of the equation. -15 + 15 + 5w = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 5w = 10 + 15 5w = 10 + 15 Combine like terms: 10 + 15 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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