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Simplifying 9w + -12 = 4w + 13 Reorder the terms: -12 + 9w = 4w + 13 Reorder the terms: -12 + 9w = 13 + 4w Solving -12 + 9w = 13 + 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. -12 + 9w + -4w = 13 + 4w + -4w Combine like terms: 9w + -4w = 5w -12 + 5w = 13 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + 5w = 13 + 0 -12 + 5w = 13 Add '12' to each side of the equation. -12 + 12 + 5w = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 5w = 13 + 12 5w = 13 + 12 Combine like terms: 13 + 12 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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