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Simplifying 7w + 3 = 4w + -9w Reorder the terms: 3 + 7w = 4w + -9w Combine like terms: 4w + -9w = -5w 3 + 7w = -5w Solving 3 + 7w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 3 + 7w + 5w = -5w + 5w Combine like terms: 7w + 5w = 12w 3 + 12w = -5w + 5w Combine like terms: -5w + 5w = 0 3 + 12w = 0 Add '-3' to each side of the equation. 3 + -3 + 12w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 12w = 0 + -3 12w = 0 + -3 Combine like terms: 0 + -3 = -3 12w = -3 Divide each side by '12'. w = -0.25 Simplifying w = -0.25
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