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Simplifying -4w + 12 + 9w = w + 9w Reorder the terms: 12 + -4w + 9w = w + 9w Combine like terms: -4w + 9w = 5w 12 + 5w = w + 9w Combine like terms: w + 9w = 10w 12 + 5w = 10w Solving 12 + 5w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 12 + 5w + -10w = 10w + -10w Combine like terms: 5w + -10w = -5w 12 + -5w = 10w + -10w Combine like terms: 10w + -10w = 0 12 + -5w = 0 Add '-12' to each side of the equation. 12 + -12 + -5w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = 0 + -12 -5w = 0 + -12 Combine like terms: 0 + -12 = -12 -5w = -12 Divide each side by '-5'. w = 2.4 Simplifying w = 2.4
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