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Simplifying -9w + 9 + 9w = 9 + 10w + -12 Reorder the terms: 9 + -9w + 9w = 9 + 10w + -12 Combine like terms: -9w + 9w = 0 9 + 0 = 9 + 10w + -12 9 = 9 + 10w + -12 Reorder the terms: 9 = 9 + -12 + 10w Combine like terms: 9 + -12 = -3 9 = -3 + 10w Solving 9 = -3 + 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. 9 + -10w = -3 + 10w + -10w Combine like terms: 10w + -10w = 0 9 + -10w = -3 + 0 9 + -10w = -3 Add '-9' to each side of the equation. 9 + -9 + -10w = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -10w = -3 + -9 -10w = -3 + -9 Combine like terms: -3 + -9 = -12 -10w = -12 Divide each side by '-10'. w = 1.2 Simplifying w = 1.2
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