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Simplifying 15w + -14w + 12 = 10w Reorder the terms: 12 + 15w + -14w = 10w Combine like terms: 15w + -14w = 1w 12 + 1w = 10w Solving 12 + 1w = 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 + 1w + -10w = 10w + -10w Combine like terms: 1w + -10w = -9w 12 + -9w = 10w + -10w Combine like terms: 10w + -10w = 0 12 + -9w = 0 Add '-12' to each side of the equation. 12 + -12 + -9w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -9w = 0 + -12 -9w = 0 + -12 Combine like terms: 0 + -12 = -12 -9w = -12 Divide each side by '-9'. w = 1.333333333 Simplifying w = 1.333333333
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