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Simplifying -1w + 14 = -3w + 8 Reorder the terms: 14 + -1w = -3w + 8 Reorder the terms: 14 + -1w = 8 + -3w Solving 14 + -1w = 8 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 14 + -1w + 3w = 8 + -3w + 3w Combine like terms: -1w + 3w = 2w 14 + 2w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 14 + 2w = 8 + 0 14 + 2w = 8 Add '-14' to each side of the equation. 14 + -14 + 2w = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 8 + -14 2w = 8 + -14 Combine like terms: 8 + -14 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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