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Simplifying w + -3 + 9w + 9 = -2w + 12 Reorder the terms: -3 + 9 + w + 9w = -2w + 12 Combine like terms: -3 + 9 = 6 6 + w + 9w = -2w + 12 Combine like terms: w + 9w = 10w 6 + 10w = -2w + 12 Reorder the terms: 6 + 10w = 12 + -2w Solving 6 + 10w = 12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 6 + 10w + 2w = 12 + -2w + 2w Combine like terms: 10w + 2w = 12w 6 + 12w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 12w = 12 + 0 6 + 12w = 12 Add '-6' to each side of the equation. 6 + -6 + 12w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 12w = 12 + -6 12w = 12 + -6 Combine like terms: 12 + -6 = 6 12w = 6 Divide each side by '12'. w = 0.5 Simplifying w = 0.5
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