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Simplifying 2w + 6 = -8w + -14 Reorder the terms: 6 + 2w = -8w + -14 Reorder the terms: 6 + 2w = -14 + -8w Solving 6 + 2w = -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. 6 + 2w + 8w = -14 + -8w + 8w Combine like terms: 2w + 8w = 10w 6 + 10w = -14 + -8w + 8w Combine like terms: -8w + 8w = 0 6 + 10w = -14 + 0 6 + 10w = -14 Add '-6' to each side of the equation. 6 + -6 + 10w = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 10w = -14 + -6 10w = -14 + -6 Combine like terms: -14 + -6 = -20 10w = -20 Divide each side by '10'. w = -2 Simplifying w = -2
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