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Simplifying 14 + 3 + -8w = -10w + -17 Combine like terms: 14 + 3 = 17 17 + -8w = -10w + -17 Reorder the terms: 17 + -8w = -17 + -10w Solving 17 + -8w = -17 + -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. 17 + -8w + 10w = -17 + -10w + 10w Combine like terms: -8w + 10w = 2w 17 + 2w = -17 + -10w + 10w Combine like terms: -10w + 10w = 0 17 + 2w = -17 + 0 17 + 2w = -17 Add '-17' to each side of the equation. 17 + -17 + 2w = -17 + -17 Combine like terms: 17 + -17 = 0 0 + 2w = -17 + -17 2w = -17 + -17 Combine like terms: -17 + -17 = -34 2w = -34 Divide each side by '2'. w = -17 Simplifying w = -17
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