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Simplifying 10w + 3 = 8w + -14 Reorder the terms: 3 + 10w = 8w + -14 Reorder the terms: 3 + 10w = -14 + 8w Solving 3 + 10w = -14 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 3 + 10w + -8w = -14 + 8w + -8w Combine like terms: 10w + -8w = 2w 3 + 2w = -14 + 8w + -8w Combine like terms: 8w + -8w = 0 3 + 2w = -14 + 0 3 + 2w = -14 Add '-3' to each side of the equation. 3 + -3 + 2w = -14 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = -14 + -3 2w = -14 + -3 Combine like terms: -14 + -3 = -17 2w = -17 Divide each side by '2'. w = -8.5 Simplifying w = -8.5
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