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Simplifying 9 + -4w = 5w + -9 Reorder the terms: 9 + -4w = -9 + 5w Solving 9 + -4w = -9 + 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. 9 + -4w + -5w = -9 + 5w + -5w Combine like terms: -4w + -5w = -9w 9 + -9w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + -9w = -9 + 0 9 + -9w = -9 Add '-9' to each side of the equation. 9 + -9 + -9w = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -9w = -9 + -9 -9w = -9 + -9 Combine like terms: -9 + -9 = -18 -9w = -18 Divide each side by '-9'. w = 2 Simplifying w = 2
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