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Simplifying w + 14 = 6 + -1w Reorder the terms: 14 + w = 6 + -1w Solving 14 + w = 6 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 14 + w + w = 6 + -1w + w Combine like terms: w + w = 2w 14 + 2w = 6 + -1w + w Combine like terms: -1w + w = 0 14 + 2w = 6 + 0 14 + 2w = 6 Add '-14' to each side of the equation. 14 + -14 + 2w = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 6 + -14 2w = 6 + -14 Combine like terms: 6 + -14 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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