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Simplifying -1w + 10 + 10 = 9w + -10 Reorder the terms: 10 + 10 + -1w = 9w + -10 Combine like terms: 10 + 10 = 20 20 + -1w = 9w + -10 Reorder the terms: 20 + -1w = -10 + 9w Solving 20 + -1w = -10 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 20 + -1w + -9w = -10 + 9w + -9w Combine like terms: -1w + -9w = -10w 20 + -10w = -10 + 9w + -9w Combine like terms: 9w + -9w = 0 20 + -10w = -10 + 0 20 + -10w = -10 Add '-20' to each side of the equation. 20 + -20 + -10w = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -10w = -10 + -20 -10w = -10 + -20 Combine like terms: -10 + -20 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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